{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {
    "pycharm": {
     "name": "#%% md\n"
    }
   },
   "source": [
    "## 正态分布\n",
    "* 正态分布 normal distribution又名高斯分布 Gaussian distribution 一个非常常见的连续概率分布\n",
    "* 若随机变量 $${\\displaystyle X}$$ 服从:\n",
    "* 均值为:$${\\displaystyle \\mu }$$ 标准差为: $${\\displaystyle \\sigma }$$ 的正态分布记为：\n",
    "* $${\\displaystyle X\\sim N(\\mu ,\\sigma ^{2}),} X \\sim N(\\mu,\\sigma^2)$$,\n",
    "* * 正态分布的概率密度函数为\n",
    "* * $${\\displaystyle f(x)={1 \\over \\sigma {\\sqrt {2\\pi }}}\\,e^{-{(x-\\mu )^{2} \\over 2\\sigma ^{2}}}} f(x) = {1 \\over \\sigma\\sqrt{2\\pi} }\\,e^{- {{(x-\\mu )^2 \\over 2\\sigma^2}}}$$\n",
    "* * $$ \\mu $$位置参数，决定了分布曲线的中心的位置；\n",
    "* * $$\\sigma^2$$的开平方或标准差 $${\\displaystyle \\sigma }$$  尺度参数，决定了分布的幅度即分布曲线的高度。\n",
    "* * 标准正态分布是位置参数 均值 $$\\mu$$=0，尺度参数 标准差 $$\\sigma^2$$ = 1的正态分布\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "pycharm": {
     "is_executing": false,
     "metadata": false,
     "name": "#%%\n"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[-4.         -3.91919192 -3.83838384 -3.75757576 -3.67676768 -3.5959596\n",
      " -3.51515152 -3.43434343 -3.35353535 -3.27272727 -3.19191919 -3.11111111\n",
      " -3.03030303 -2.94949495 -2.86868687 -2.78787879 -2.70707071 -2.62626263\n",
      " -2.54545455 -2.46464646 -2.38383838 -2.3030303  -2.22222222 -2.14141414\n",
      " -2.06060606 -1.97979798 -1.8989899  -1.81818182 -1.73737374 -1.65656566\n",
      " -1.57575758 -1.49494949 -1.41414141 -1.33333333 -1.25252525 -1.17171717\n",
      " -1.09090909 -1.01010101 -0.92929293 -0.84848485 -0.76767677 -0.68686869\n",
      " -0.60606061 -0.52525253 -0.44444444 -0.36363636 -0.28282828 -0.2020202\n",
      " -0.12121212 -0.04040404  0.04040404  0.12121212  0.2020202   0.28282828\n",
      "  0.36363636  0.44444444  0.52525253  0.60606061  0.68686869  0.76767677\n",
      "  0.84848485  0.92929293  1.01010101  1.09090909  1.17171717  1.25252525\n",
      "  1.33333333  1.41414141  1.49494949  1.57575758  1.65656566  1.73737374\n",
      "  1.81818182  1.8989899   1.97979798  2.06060606  2.14141414  2.22222222\n",
      "  2.3030303   2.38383838  2.46464646  2.54545455  2.62626263  2.70707071\n",
      "  2.78787879  2.86868687  2.94949495  3.03030303  3.11111111  3.19191919\n",
      "  3.27272727  3.35353535  3.43434343  3.51515152  3.5959596   3.67676768\n",
      "  3.75757576  3.83838384  3.91919192  4.        ]\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "<matplotlib.collections.PolyCollection at 0x1b77b8be080>"
      ]
     },
     "execution_count": 1,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# IMPORTS\n",
    "import numpy as np # 矩阵运算\n",
    "import scipy.stats as stats # scipy 统计分析模块\n",
    "import matplotlib.pyplot as plt # matplot绘图模块\n",
    "import matplotlib.style as style # matplot样式风格模块\n",
    "from IPython.core.display import HTML # \n",
    "import matplotlib.pyplot as plt\n",
    "plt.rcParams['font.sans-serif']=['SimHei']\n",
    "plt.rcParams['axes.unicode_minus']=False\n",
    "\n",
    "# plot 配置\n",
    "style.use('fivethirtyeight')  # 设置样式\n",
    "plt.rcParams[\"figure.figsize\"] = (14, 7) # 尺寸\n",
    "plt.figure(dpi=100) # 分辨率\n",
    "\n",
    "# PDF probability density function 概率密度函数 分布\n",
    "print(np.linspace(-4, 4, 100))\n",
    "plt.plot(np.linspace(-4, 4, 100),  # 选取100个 -4 - +4 的线性空间\n",
    "         stats.norm.pdf(np.linspace(-4, 4, 100)), # 绘制分布密度\n",
    "         color='b'\n",
    "        )\n",
    "\n",
    "# 对分布的内部进行颜色填充\n",
    "plt.fill_between(np.linspace(-4, 4, 100),\n",
    "                 stats.norm.pdf(np.linspace(-4, 4, 100)), \n",
    "                 alpha=.15,\n",
    "                 color='r'\n",
    "                )"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "pycharm": {
     "metadata": false,
     "name": "#%% md\n"
    }
   },
   "source": [
    "* 大量的数据96%的,集中在一个标准差附近\n",
    "* 自然界的大量的事件的发生基本都是遵从于正态分布\n",
    "\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {
    "pycharm": {
     "is_executing": false,
     "metadata": false,
     "name": "#%%\n"
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Text(-5,1.1,'Depicted below are the normed probability density function (pdf) and the cumulative density\\nfunction (cdf) of a normally distributed random variable $ y \\\\sim \\\\mathcal{N}(\\\\mu,\\\\sigma) $, given $ \\\\mu = 0 $ and $ \\\\sigma = 1$.')"
      ]
     },
     "execution_count": 6,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# CDF cumulative probability density function 累计概率密度函数"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "pycharm": {
     "metadata": false,
     "name": "#%% md\n"
    }
   },
   "source": [
    "* 累计概率密度函数: 即对概率密度的逐步累计结果, 最终为1"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 72,
   "metadata": {
    "pycharm": {
     "is_executing": false,
     "metadata": false,
     "name": "#%%\n"
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Text(-5,1.1,'正态分布密度函数(pdf) and 累计密度函数 (cdf) 服从 $ y \\\\sim \\\\mathcal{N}(\\\\mu,\\\\sigma) $, given $ \\\\mu = 0 $ and $ \\\\sigma = 1$.')"
      ]
     },
     "execution_count": 72,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1008x504 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(np.linspace(-4, 4, 100),\n",
    "         stats.norm.pdf(np.linspace(-4, 4, 100)))\n",
    "plt.plot(np.linspace(-4, 4, 100), \n",
    "         stats.norm.cdf(np.linspace(-4, 4, 100)),\n",
    "        )\n",
    "\n",
    "# 模板\n",
    "plt.text(x=-1.5, y=.4, s=\"pdf正态分布密度\", rotation=50, alpha=.75, weight=\"bold\", color=\"#008fd5\")\n",
    "plt.text(x=-.4, y=.5, s=\"累计密度\", rotation=55, alpha=.75, weight=\"bold\", color=\"#fc4f30\")\n",
    "\n",
    "# 标签\n",
    "plt.tick_params(axis = 'both', which = 'major', labelsize = 18)\n",
    "plt.axhline(y = 0, color = 'black', linewidth = 1.3, alpha = .7)\n",
    "\n",
    "# 标题\n",
    "plt.text(x = -5, y = 1.25, s = \"正态分布预览\",\n",
    "               fontsize = 26, weight = 'bold', alpha = .75)\n",
    "plt.text(x = -5, y = 1.1, \n",
    "         s = '正态分布密度函数(pdf) and 累计密度函数 (cdf) 服从 $ y \\sim \\mathcal{N}(\\mu,\\sigma) $, given $ \\mu = 0 $ and $ \\sigma = 1$.',\n",
    "         fontsize = 19, alpha = .85)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "pycharm": {
     "metadata": false
    }
   },
   "source": [
    "*** \n",
    "### 参数对正态分布的影响\n",
    "* 均值\n",
    "* 不同的均值u 会影响正态分布的中心位置, 属于分布的位置参数"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 73,
   "metadata": {
    "pycharm": {
     "is_executing": false,
     "metadata": false,
     "name": "#%%\n"
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Text(-5,0.45,'Depicted below are three normally distributed random variables with varying $ \\\\mu $. As one can easily\\nsee the parameter $\\\\mu$ shifts the distribution along the x-axis.')"
      ]
     },
     "execution_count": 73,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1400x700 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(dpi=100)\n",
    "\n",
    "# PDF 均值为 MU = 0\n",
    "plt.plot(np.linspace(-4, 4, 100), \n",
    "         stats.norm.pdf(np.linspace(-4, 4, 100)),\n",
    "        )\n",
    "plt.fill_between(np.linspace(-4, 4, 100),\n",
    "                 stats.norm.pdf(np.linspace(-4, 4, 100)),\n",
    "                 alpha=.15,\n",
    "                )\n",
    "\n",
    "# PDF 均值为MU = 2\n",
    "plt.plot(np.linspace(-4, 4, 100), \n",
    "         stats.norm.pdf(np.linspace(-4, 4, 100), loc=2),\n",
    "        )\n",
    "plt.fill_between(np.linspace(-4, 4, 100),\n",
    "                 stats.norm.pdf(np.linspace(-4, 4, 100),loc=2),\n",
    "                 alpha=.15,\n",
    "                )\n",
    "\n",
    "# PDF 均值为MU = -2\n",
    "plt.plot(np.linspace(-4, 4, 100), \n",
    "         stats.norm.pdf(np.linspace(-4, 4, 100), loc=-2),\n",
    "        )\n",
    "plt.fill_between(np.linspace(-4, 4, 100),\n",
    "                 stats.norm.pdf(np.linspace(-4, 4, 100),loc=-2),\n",
    "                 alpha=.15,\n",
    "                )\n",
    "\n",
    "# LEGEND\n",
    "plt.text(x=-1, y=.35, s=\"$ \\mu = 0$\", rotation=65, alpha=.75, weight=\"bold\", color=\"#008fd5\")\n",
    "plt.text(x=1, y=.35, s=\"$ \\mu = 2$\", rotation=65, alpha=.75, weight=\"bold\", color=\"#fc4f30\")\n",
    "plt.text(x=-3, y=.35, s=\"$ \\mu = -2$\", rotation=65, alpha=.75, weight=\"bold\", color=\"#e5ae38\")\n",
    "\n",
    "\n",
    "# TICKS\n",
    "plt.tick_params(axis = 'both', which = 'major', labelsize = 18)\n",
    "plt.axhline(y = 0, color = 'black', linewidth = 1.3, alpha = .7)\n",
    "\n",
    "# TITLE, \n",
    "plt.text(x = -5, y = 0.51, s = \"Normal Distribution - $ \\mu $\",\n",
    "               fontsize = 26, weight = 'bold', alpha = .75)\n",
    "plt.text(x = -5, y = 0.45, \n",
    "         s = 'Depicted below are three normally distributed random variables with varying $ \\mu $. As one can easily\\nsee the parameter $\\mu$ shifts the distribution along the x-axis.',\n",
    "         fontsize = 19, alpha = .85)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "pycharm": {
     "metadata": false
    }
   },
   "source": [
    "*** \n",
    "### 参数对正态分布的影响\n",
    "* 标准差 σ\n",
    "* 不同的标准差σ 会影响正态分布的高矮胖瘦, 属于分布的高度\n",
    "* 标准差越大数据的差异性越大,标准差越小,数据更加集中"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "pycharm": {
     "metadata": false,
     "name": "#%%\n"
    }
   },
   "outputs": [],
   "source": [
    "plt.figure(dpi=100)\n",
    "\n",
    "# PDF SIGMA = 1\n",
    "plt.plot(np.linspace(-4, 4, 100), \n",
    "         stats.norm.pdf(np.linspace(-4, 4, 100), scale=1),\n",
    "        )\n",
    "plt.fill_between(np.linspace(-4, 4, 100),\n",
    "                 stats.norm.pdf(np.linspace(-4, 4, 100), scale=1),\n",
    "                 alpha=.15,\n",
    "                )\n",
    "\n",
    "# PDF SIGMA = 2\n",
    "plt.plot(np.linspace(-4, 4, 100), \n",
    "         stats.norm.pdf(np.linspace(-4, 4, 100), scale=2),\n",
    "        )\n",
    "plt.fill_between(np.linspace(-4, 4, 100),\n",
    "                 stats.norm.pdf(np.linspace(-4, 4, 100), scale=2),\n",
    "                 alpha=.15,\n",
    "                )\n",
    "\n",
    "# PDF SIGMA = 0.5\n",
    "plt.plot(np.linspace(-4, 4, 100), \n",
    "         stats.norm.pdf(np.linspace(-4, 4, 100), scale=0.5),\n",
    "        )\n",
    "plt.fill_between(np.linspace(-4, 4, 100),\n",
    "                 stats.norm.pdf(np.linspace(-4, 4, 100), scale=0.5),\n",
    "                 alpha=.15,\n",
    "                )\n",
    "\n",
    "# LEGEND\n",
    "plt.text(x=-1.25, y=.3, s=\"$ \\sigma = 1$\", rotation=51, alpha=.75, weight=\"bold\", color=\"#008fd5\")\n",
    "plt.text(x=-2.5, y=.13, s=\"$ \\sigma = 2$\", rotation=11, alpha=.75, weight=\"bold\", color=\"#fc4f30\")\n",
    "plt.text(x=-0.75, y=.55, s=\"$ \\sigma = 0.5$\", rotation=75, alpha=.75, weight=\"bold\", color=\"#e5ae38\")\n",
    "\n",
    "\n",
    "# TICKS\n",
    "plt.tick_params(axis = 'both', which = 'major', labelsize = 18)\n",
    "plt.axhline(y = 0, color = 'black', linewidth = 1.3, alpha = .7)\n",
    "\n",
    "# 标题\n",
    "plt.text(x = -5, y = 0.98, s = \"Normal Distribution - $ \\sigma $\",\n",
    "               fontsize = 26, weight = 'bold', alpha = .75)\n",
    "plt.text(x = -5, y = 0.87, \n",
    "         s = 'Depicted below are three normally distributed random variables with varying $\\sigma $. As one can easily\\nsee the parameter $\\sigma$ \"sharpens\" the distribution (the smaller $ \\sigma $ the sharper the function).',\n",
    "         fontsize = 19, alpha = .85)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "pycharm": {
     "metadata": false
    }
   },
   "source": [
    "***\n",
    "* 随机的几个样本\n",
    "* 可以使用norm.rvs()其中默认值 $ \\mu = 0$  $\\sigma=1$，也可以自己指定"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 77,
   "metadata": {
    "pycharm": {
     "is_executing": false,
     "metadata": false,
     "name": "#%%\n"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "-0.7070991742920572\n",
      "\n",
      "[-1.33353995  0.61271336 -0.75433102 -0.62814789 -1.27011344 -0.04141127\n",
      " -0.66843516 -0.58918615 -0.09407301 -1.11373196]\n",
      "\n",
      "10.07237670118054\n",
      "\n"
     ]
    }
   ],
   "source": [
    "from scipy.stats import norm # 统计中的正态模块\n",
    "\n",
    "# draw a single sample\n",
    "print(norm.rvs(), end=\"\\n\\n\") # 随机变量生成\n",
    "\n",
    "# draw 10 samples\n",
    "print(norm.rvs(size=10), end=\"\\n\\n\")\n",
    "\n",
    "# 指定了均值 mean ('loc') 指定了标准差 ('scale')\n",
    "print(norm.rvs(loc=10, scale=0.1), end=\"\\n\\n\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "pycharm": {
     "metadata": false
    }
   },
   "source": [
    "***\n",
    "* 概率密度函数（Probability Density Function）\n",
    "* 根据我们的密度分布函数来计算"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 78,
   "metadata": {
    "pycharm": {
     "is_executing": false,
     "metadata": false,
     "name": "#%%\n"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "pdf(x) = 0.24197072451914337\n",
      "pdf(y) = 0.05399096651318806\n"
     ]
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAA40AAAGWCAYAAADc2mZIAAAABHNCSVQICAgIfAhkiAAAAAlwSFlzAAALEgAACxIB0t1+/AAAADl0RVh0U29mdHdhcmUAbWF0cGxvdGxpYiB2ZXJzaW9uIDIuMi4yLCBodHRwOi8vbWF0cGxvdGxpYi5vcmcvhp/UCwAAHnJJREFUeJzt3U9sXdl9H/DvCYe2JftVsRgjZGKU4ABqCxiwCy6CDOBG06I2E6AIVAexDQTOJg1aIF5lkwZhN80LEBiBCzhG0kadBFlkEadAuMg/uWhjx4vxQn6FF14UBEKz8JREVc1Ecw2OLfb5dkGNRNI8EqV3pfve0+ezejq8FH8kzzv3fHnPPbe0bRsAAAA4yw/0XQAAAADTS2gEAACgSmgEAACgSmgEAACgSmgEAACg6oVn8UXu3Llji1YAAIAZcOnSpXL83640AgAAUCU0AgAAUCU03rO9vd13CUwZfYLj9AdO0yc4TZ/gNH2C42a5PwiNAAAAVAmNAAAAVAmNAAAAVAmNAAAAVAmNAAAAVAmNAAAAVAmNAAAAVAmNAAAAVAmNAAAAVAmNAAAAVAmNAAAAVAmNAAAAVAmNAAAAVAmNAAAAVAmNAAAAVAmNAAAAVAmNAAAAVJ0rNJZSXimlvFpK2XzEcT9cSvkf3ZQGAABA31541AGllI8lWWjb9qVSyu+XUq60bbtdOfy3klzotEIAeIZ2m8MMR032DsZZubiQzfVBVgeLz+zzAWDalLZtH35AKZ9L8ldt2/5FKeWTSS60bfsHZxz3z5J8PMk/atv25eMfu3Pnzv0vsr1dy5sA0K/X3ir59DfemW9958FCnPe/63v5/Ae+mx+98PDzZRefDwB9uXLlyv3Xly5dKsc/9sgrjUneneS1e69fT7J++oBSyjuS/Lsk/zLJ1nmLmSbb29tTWxv90Cc4Tn94Pnzmy6/nW99560Tbt77zA/mjNy7n+gcvn2g/q088zuczf4wTnKZPcNws94fz3NP47TxYcvqeyuf82yS/07bt33VVGAA8a3sH4zPb9yvtXX8+AEyj84TGryX58L3XH0ryzTOO+edJfqmU8qUk/7iU8p87qQ4AnqGViwtnti9X2rv+fACYRudZnrqV5CullB9J8lNJPllKGbZte38n1bZtf+Lt16WUL7Vt+6+6LxUAHm2SjWg21we5eetudpoHVwbXBkf/x7P4/C6+BwDo2iNDY9u2b5ZSXk7ykSSfadt2P8nXH3L8y51VBwCPYbc5zLUbt0+Etpu37mZrY+lcoWt1sJitjaUMR032D8ZZfszANunnd/E9AEDXznOlMW3bvpHkC0+5FgCYyHDUnAhbSbLTjDMcNbl+9Xwb0awOFs997NP4/C6+BwDo0nnuaQSAmTAPG9HMw/cAwHwRGgGYG/OwEc08fA8AzBehEYC5sbk+yNrgZLh6ko1o+jQP3wMA8+Vc9zQCwCzoYiOavs3D9wDAfBEaAZgrk25EMw3m4XsAYH5YngoAAECV0AgAAECV5akATJXd5jDDUZO9g3FW3M/3RPwMAeiS0AjA1NhtDnPtxu0TD7e/eetutjaWhJ5z8jMEoGuWpwIwNYaj5kTYSZKdZpzhqOmpotnjZwhA14RGAKbG3sH4zPb9Sjvfz88QgK4JjQBMjZWLC2e2L1fa+X5+hgB0TWgEYGpsrg+yNjgZbtYGRxu5cD5+hgB0zUY4AEyN1cFitjaWMhw12T8YZ9nOn4/NzxCArgmNAEyV1cFirl+93HcZM83PEIAuWZ4KAABAldAIAABAldAIAABAldAIAABAldAIAABAldAIAABAlUduANCZ3eYww1GTvYNxVjwfcGb5PQJwnNAIQCd2m8Ncu3E7O834ftvNW3eztbEkcMwQv0cATrM8FYBODEfNiaCRJDvNOMNR01NFPAm/RwBOExoB6MTewfjM9v1KO9PJ7xGA04RGADqxcnHhzPblSjvTye8RgNOERgA6sbk+yNrgZLBYGxxtosLs8HsE4DQb4QDQidXBYrY2ljIcNdk/GGfZrpszye8RgNOERgA6szpYzPWrl/sugwn5PQJwnOWpAAAAVAmNAAAAVAmNAAAAVAmNAAAAVAmNAAAAVAmNAAAAVAmNAAAAVAmNAAAAVAmNAAAAVAmNAAAAVL3QdwEATI/d5jDDUZO9g3FWLi5kc32Q1cFi32UxY/QjgPkiNAKQ5Giif+3G7ew04/ttN2/dzdbGkgk/56YfAcwfy1MBSJIMR82JiX6S7DTjDEdNTxUxi/QjgPkjNAKQJNk7GJ/Zvl9ph7PoRwDzR2gEIEmycnHhzPblSjucRT8CmD9CIwBJks31QdYGJyf2a4OjTUzgvPQjgPljIxwAkiSrg8VsbSxlOGqyfzDOsl0veQL6EcD8ERoBuG91sJjrVy/3XQYzTj8CmC+WpwIAAFAlNAIAAFAlNAIAAFAlNAIAAFAlNAIAAFAlNAIAAFAlNAIAAFAlNAIAAFAlNAIAAFAlNAIAAFAlNAIAAFAlNAIAAFD1Qt8FANCd3eYww1GTvYNxVi4uZHN9kNXBYt9lwWPTlwGmh9AIMCd2m8Ncu3E7O834ftvNW3eztbFkss1M0ZcBpovlqQBzYjhqTkyyk2SnGWc4anqqCJ6MvgwwXYRGgDmxdzA+s32/0g7TSl8GmC5CI8CcWLm4cGb7cqUdppW+DDBdhEaAObG5Psja4OSkem1wtIEIzBJ9GWC62AgHYE6sDhaztbGU4ajJ/sE4y3acZEbpywDTRWgEmCOrg8Vcv3q57zJgYvoywPSwPBUAAIAqoREAAIAqoREAAIAqoREAAIAqoREAAIAqoREAAIAqoREAAICqzkJjKeVyKeUjpZQf6ur/BAAAoF/nCo2llFdKKa+WUjYrH39vkj9L8mNJ/rqU8r4OawQAAKAnjwyNpZSPJVlo2/alJC+WUq6ccdgHk/xy27a/keRGkvVuywQAAKAP57nS+HKSL9x7/cUkHz59QNu2X27b9qullJ/I0dXGVzurEAAAgN6Utm0ffkApryT5XNu2Xy+lfDTJetu2v3nGcSXJ55O8P8kn27Z96+2P3blz5/4X2d7e7qp2AAAAOnDlyoMFpZcuXSrHP/bCOT7/20ku3Hv9nlSuTrZH6fOXSim/nuSnk/zxo4qZJtvb21NbG/3QJzhOf+A0fYLT9AlO0yc4bpb7w3mWp34tD5akfijJN08fUEr5lVLKz9/75w8m+btOqgMAAKBX5wmNW0k+VUr5bJKPJ/lGKWV46pjfu3fM3yRZyNG9jwAAAMy4Ry5Pbdv2zVLKy0k+kuQzbdvuJ/n6qWPeuPdxAAAA5sh57ml8OxR+4ZEHAjCR3eYww1GTvYNxVi4uZHN9kNXBYt9lwczxXgLozrlCIwBP325zmGs3bmenGd9vu3nrbrY2lkx24TF4LwF06zz3NALwDAxHzYlJbpLsNOMMR01PFcFs8l4C6JbQCDAl9g7GZ7bvV9qBs3kvAXRLaASYEisXF85sX660A2fzXgLoltAIMCU21wdZG5yc1K4NjjbwAM7PewmgWzbCAZgSq4PFbG0sZThqsn8wzrIdH+GJeC8BdEtoBJgiq4PFXL96ue8yYOZ5LwF0x/JUAAAAqoRGAAAAqoRGAAAAqoRGAAAAqoRGAAAAqoRGAAAAqoRGAAAAqoRGAAAAqoRGAAAAqoRGAAAAqoRGAAAAqoRGAAAAqoRGAAAAqoRGAAAAqoRGAAAAqoRGAAAAql7ouwCAebHbHGY4arJ3MM7KxYVsrg+yOljsuyzgCXg/AzwgNAJ0YLc5zLUbt7PTjO+33bx1N1sbSyaaMGO8nwFOsjwVoAPDUXNigpkkO804w1HTU0XAk/J+BjhJaATowN7B+Mz2/Uo7ML28nwFOEhoBOrByceHM9uVKOzC9vJ8BThIaATqwuT7I2uDkhHJtcLR5BjBbvJ8BTrIRDkAHVgeL2dpYynDUZP9gnGW7LcLM8n4GOEloBOjI6mAx169e7rsMoAPezwAPWJ4KAABAldAIAABAldAIAABAldAIAABAldAIAABAldAIAABAldAIAABAldAIAABAldAIAABAldAIAABAldAIAABAldAIAABAldAIAABAldAIAABAldAIAABAldAIAABAldAIAABA1Qt9FwAwLXabwwxHTfYOxlm5uJDN9UFWB4t9lwXMIOMJME+ERoAcTfCu3bidnWZ8v+3mrbvZ2lgy0QMei/EEmDeWpwIkGY6aExO8JNlpxhmOmp4qAmaV8QSYN0IjQJK9g/GZ7fuVdoAa4wkwb4RGgCQrFxfObF+utAPUGE+AeSM0AiTZXB9kbXByQrc2ONq8AuBxGE+AeWMjHIAkq4PFbG0sZThqsn8wzrLdDoEnZDwB5o3QCHDP6mAx169e7rsMYA4YT4B5YnkqAAAAVUIjAAAAVUIjAAAAVUIjAAAAVUIjAAAAVUIjAAAAVUIjAAAAVUIjAAAAVUIjAAAAVUIjAAAAVUIjAAAAVUIjAAAAVUIjAAAAVUIjAAAAVUIjAAAAVUIjAAAAVUIjAAAAVS/0XQBAV3abwwxHTfYOxlm5uJDN9UFWB4t9lwXwRIxpwLQQGoG5sNsc5tqN29lpxvfbbt66m62NJZMsYOYY04BpYnkqMBeGo+bE5CpJdppxhqOmp4oAnpwxDZgm5wqNpZRXSimvllI2Kx+/VEr5y1LKF0spf1pKeUe3ZQI83N7B+Mz2/Uo7wDQzpgHT5JGhsZTysSQLbdu+lOTFUsqVMw77uSSfbdv2o0n2k/xkt2UCPNzKxYUz25cr7QDTzJgGTJPStu3DDyjlc0n+qm3bvyilfDLJhbZt/+Ahx/+XJL/Vtu1X3267c+fO/S+yvb09edUAp7z2Vsmnv/HOfOs7D/4W9v53fS+f/8B386MXHj7OAUwbYxrwrF258uDa4KVLl8rxj51nI5x3J3nt3uvXk6zXDiylvJTkvccD48OKmSbb29tTWxv90Cdmy5Ukf752tNPg/sE4yx3vNKg/cJo+wWld9omnPabxbBgnOG6W+8N5QuO3k1y49/o9qSxpLaVcTvLbSX6mm9IAHs/qYDHXr17uuwyAThjTgGlxno1wvpbkw/defyjJN08fcG/jmz9J8qtt2+52Vh0AAAC9Ok9o3EryqVLKZ5N8PMk3SinDU8f8Qo6Wrf5aKeVLpZRPdFwnAAAAPXjk8tS2bd8spbyc5CNJPtO27X6Sr5865neT/O5TqRAAAIDenOeexrRt+0aSLzzlWgAAAJgy51meCgAAwHNKaAQAAKBKaAQAAKBKaAQAAKBKaAQAAKBKaAQAAKBKaAQAAKBKaAQAAKBKaAQAAKBKaAQAAKBKaAQAAKBKaAQAAKDqhb4LAHjbbnOY4ajJ3sE4KxcXsrk+yOpgse+yAGaSMRXoitAITIXd5jDXbtzOTjO+33bz1t1sbSyZ5AA8JmMq0CXLU4GpMBw1JyY3SbLTjDMcNT1VBDC7jKlAl4RGYCrsHYzPbN+vtANQZ0wFuiQ0AlNh5eLCme3LlXYA6oypQJeERmAqbK4PsjY4OZlZGxxt3ADA4zGmAl2yEQ4wFVYHi9naWMpw1GT/YJxlO/0BPDFjKtAloRGYGquDxVy/ernvMgDmgjEV6IrlqQAAAFQJjQAAAFQJjQAAAFQJjQAAAFQJjQAAAFQJjQAAAFQJjQAAAFQJjQAAAFQJjQAAAFQJjQAAAFQJjQAAAFQJjQAAAFQJjQAAAFQJjQAAAFS90HcBwHzYbQ4zHDXZOxhn5eJCNtcHWR0s9l0WAE/IuA68TWgEJrbbHObajdvZacb3227euputjSUTDIAZZFwHjrM8FZjYcNScmFgkyU4zznDU9FQRAJMwrgPHCY3AxPYOxme271faAZhuxnXgOKERmNjKxYUz25cr7QBMN+M6cJzQCExsc32QtcHJicTa4GjTBABmj3EdOM5GOMDEVgeL2dpYynDUZP9gnGW77AHMNOM6cJzQCHRidbCY61cv910GAB0xrgNvszwVAACAKqERAACAKqERAACAKqERAACAKqERAACAKqERAACAKqERAACAKqERAACAKqERAACAKqERAACAKqERAACAKqERAACAKqERAACAqhf6LgCYDrvNYYajJnsH46xcXMjm+iCrg8W+ywJgRjmvwPwQGoHsNoe5duN2dprx/babt+5ma2PJCR6Ax+a8AvPF8lQgw1Fz4sSeJDvNOMNR01NFAMwy5xWYL0IjkL2D8Znt+5V2AHgY5xWYL0IjkJWLC2e2L1faAeBhnFdgvgiNQDbXB1kbnDyRrw2ONi0AgMflvALzxUY4QFYHi9naWMpw1GT/YJxlu9wBMAHnFZgvQiOQ5OgEf/3q5b7LAGBOOK/A/LA8FQAAgCqhEQAAgCqhEQAAgCqhEQAAgCqhEQAAgCqhEQAAgCqhEQAAgCqhEQAAgCqhEQAAgCqhEQAAgKoX+i4A6MZuc5jhqMnewTgrFxeyuT7I6mCx77IA4Ik5t8F0EBphDuw2h7l243Z2mvH9tpu37mZrY8nJFYCZ5NwG0+Ncy1NLKa+UUl4tpWw+5JgfLqV8pbvSgPMajpoTJ9Uk2WnGGY6anioCgMk4t8H0eGRoLKV8LMlC27YvJXmxlHLljGPem+QPk7y7+xKBR9k7GJ/Zvl9pB4Bp59wG0+M8VxpfTvKFe6+/mOTDZxwzTvKJJG92UxbwOFYuLpzZvlxpB4Bp59wG06O0bfvwA0p5Jcnn2rb9einlo0nW27b9zcqxX2rb9uXT7Xfu3Ln/Rba3tyerGPg+r71V8ulvvDPf+s6DvwO9/13fy+c/8N386IWHv8cBYBo5t8GzdeXKgwWlly5dKsc/dp6NcL6d5MK91+/JhI/pOF7MNNne3p7a2ujHLPWJK0n+fO1oh7n9g3GW7TDXuVnqDzwb+gSn6RPdmodzmz7BcbPcH84TGr+WoyWpX03yoST/86lWBDyR1cFirl+93HcZANAZ5zaYDue5ariV5FOllM8m+XiSb5RShk+3LAAAAKbBI680tm37Zinl5SQfSfKZtm33k3y9cuzLnVYHAABAr86zPDVt276RBzuoAgAA8JyYaFMbAAAA5pvQCAAAQJXQCAAAQJXQCAAAQJXQCAAAQNW5dk8Fnr7d5jDDUZO9g3FWLi5kc32Q1cFi32UBwMxyboVuCI0wBXabw1y7cTs7zfh+281bd7O1seTkBgBPwLkVumN5KkyB4ag5cVJLkp1mnOGo6akiAJhtzq3QHaERpsDewfjM9v1KOwDwcM6t0B2hEabAysWFM9uXK+0AwMM5t0J3hEaYApvrg6wNTp7E1gZHN+wDAI/PuRW6YyMcmAKrg8VsbSxlOGqyfzDOsh3eAGAizq3QHaERpsTqYDHXr17uuwwAmBvOrdANy1MBAACoEhoBAACoEhoBAACoEhoBAACoEhoBAACoEhoBAACo8sgN6MBuc5jhqMnewTgrngMFAHPB+R2OCI0wod3mMNdu3M5OM77fdvPW3WxtLDmxAMCMcn6HByxPhQkNR82JE0qS7DTjDEdNTxUBAJNyfocHhEaY0N7B+Mz2/Uo7ADD9nN/hAaERJrRyceHM9uVKOwAw/Zzf4QGhESa0uT7I2uDkCWRtcHSzPAAwm5zf4QEb4cCEVgeL2dpYynDUZP9gnGW7qwHAzHN+hweERujA6mAx169e7rsMAKBDzu9wxPJUAAAAqoRGAAAAqoRGAAAAqoRGAAAAqmyEA0l2m8MMR032DsZZuWg7bQBgcq+9VfKZL79+Yn5h91VmkdDIc2+3Ocy1G7ez04zvt928dTf/4R+UXOmxLgBgdu02h/n0N96Zb33nrfttN2/dzdbGkuDIzLE8lefecNScCIxJstOM8x//l7+pAABPZjhq8q3vnJxq7zTjDEdNTxXBkxMaee7tHYzPbL9119sDAHgytfnFfqUdpplZMc+9lYsLZ7a/7x3fe8aVAADzoja/WK60wzQTGnnuba4PsjY4OYCvDRbyb/7+/+upIgBg1m2uD/L+d538A/TawGZ7zCY3bfHcWx0sZmtjKcNRk/2DcZbv7W52d989BwDAk1kdLObzH/hu/uiNyyfmFzbBYRYJjZCjgf361csn2rb3eyoGAJgLP3qhzfUPXn70gTDlLE8FAACgSmgEAACgyvJU5sJuc5jhqMnewTgr7hkAAOaEOQ7TQGhk5u02h7l243Z2mgfPPbp56262NpYMqgDAzDLHYVpYnsrMG46aE4Npkuw04wxHdj8FAGaXOQ7TQmhk5u0djM9s36+0AwDMAnMcpoXQyMxbubhwZvtypR0AYBaY4zAthEZm3ub6IGuDk4Pn2uDoRnEAgFlljsO0sBEOM291sJitjaUMR032D8ZZtrMYADAHzHGYFkIjc2F1sJjrVy/3XQYAQKfMcZgGQiNTwTOIAAC6Z45FF4RGeucZRAAA3TPHois2wqF3nkEEANA9cyy6IjTSO88gAgDonjkWXREa6Z1nEAEAdM8ci64IjfTOM4gAALpnjkVXbIRD7zyDCACge+ZYdEVoZGJdbOXsGUQAAN2bdI7lkR0kQiMTspUzAMB8Ms/jbe5pZCK2cgYAmE/mebxNaGQitnIGAJhP5nm8TWhkIrZyBgCYT+Z5vM09jUx0g/Pm+iA3b909sXTBVs4AALOvi3mejXTmg9D4nJv0BmdbOQMAzKdJ53k20pkfQuNz7mE3OJ93e2aPywAAmE+TzPO6mGcyHdzT+JxzgzMAAE+Deeb8cKVxDkyyVtwNzgAAPA1dzTPdF9k/oXHGTbpW3EY2AAA8DV1tpOO+yP5ZnjrjJn3o6ts3OP/sixfyT5bfkZ998YI3IQAAE+tinjnpXJduuNI4BSa55N7FWnEb2QAA8DRMOs/sYq5reevkhMaeTXrJ3T2JAADMq0nnupa3dsPy1AntNof5xS+/nn/xl7fyi19+PbvN4WN9/qSX3DfXB1kbnHzTuCcRAIB5MOlct4vlrZPO9+fBc3+l8e3L1X/7f9+ZF//368/8gaWTXnKf9KGrAAAwrSad60461+5ivj9J3pgWz3VoPNkJFvK1N996rE7QxQNLu1he6p5EAADm1SRz3Unn2pPO9yfNG9PiuV6eOunl6i5uzLW8FAAAno5J59qTzvfnZffX5/pK46SdoKurhJaXAgBA9yada0863+/iItM0eK5D46SdoIsHliaWlwIAwNMyyVx70vn+vDzp4FzLU0spr5RSXi2lbE5yzLSZ9HJ1Fw8sBQAAptOk8/15uRXtkVcaSykfS7LQtu1LpZTfL6Vcadt2+3GPmUbHL1f/7e1v58Wl9zz20lBXCQEAYH5NMt/vIm9Mg9K27cMPKOVzSf6qbdu/KKV8MsmFtm3/4HGOuXPnzv0vsr099VkSAADguXLlypX7ry9dulSOf+w89zS+O8lr916/nmT9CY/5vmKmyfb29tTWRj/0CY7THzhNn+A0fYLT9AmOm+X+cJ57Gr+d5MK91++pfM55jgEAAGDGnCfcfS3Jh++9/lCSbz7hMQAAAMyY8yxP3UrylVLKjyT5qSSfLKUM27bdfMgxP959qQAAADxrj7zS2Lbtm0leTvLVJP+0bduvnwqMZx1zp/tSAQAAeNbOc6Uxbdu+keQLkx4DAADAbLFhDQAAAFVCIwAAAFVCIwAAAFVCIwAAAFVCIwAAAFVCIwAAAFVCIwAAAFVCIwAAAFVCIwAAAFVCIwAAAFVCIwAAAFVCIwAAAFWlbdun/kXu3Lnz9L8IAAAAE7t06VI5/m9XGgEAAKgSGgEAAKh6JstTAQAAmE2uNN5TSrlcSvlIKeWH+q4FAACYH7OeNYTGJKWU9yb5syQ/luSvSynv67kkelZKuVRK+ctSyhdLKX9aSnlH3zXRv1LKD5dSvtJ3HcD0MT7wNnMITpuHrCE0Hvlgkl9u2/Y3ktxIst5zPfTv55J8tm3bjybZT/KTPddDz+4N+H+Y5N1910L/SimvlFJeLaVs9l0L/TM+cIo5BKfNfNYQGpO0bfvltm2/Wkr5iRz9BeDVvmuiX23b/k7btv/13j/fl+T/9FkPU2Gc5BNJ3uy7EPpVSvlYkoW2bV9K8mIp5UrfNdE74wP3mUNw2jxkjRf6LqAPpZT/lOQfHmv670l+PUcD/htJDvuoi/6c1Sfatv33pZSXkry3bduv9lQaPXlIn+irJKbHy0m+cO/1F5N8OMl2b9XQu7Zt30wS4wPHmUNwXDkaIGY2azyXobFt239d+dAvlVJ+PclPJ/njZ1gSPTurT5RSLif57SQ/8+wrom8PGSfg3Uleu/f69czgMiPg6TKH4LT26JEVM5s1LE9NUkr5lVLKz9/75w8m+bs+66F/925a/5Mkv9q27W7f9QBT5dtJLtx7/Z44lwLHmENw2jxkDSe6I7+X5FOllL9JspCj5UY8334hR1cPfq2U8qVSyif6LgiYGl/L0ZLUJPlQkm/2VwowhcwhOG3ms0Y5ulIKAJxHKeXvJflKkv+W5KeS/Hjbtnf6rQoAnh6hEQAe071HLHwkyd+0bbvfdz0A8DQJjQAAAFS5pxEAAIAqoREAAIAqoREAAIAqoREAAIAqoREAAICq/w98ikeSqL1vnAAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<Figure size 1008x504 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "from scipy.stats import norm\n",
    "\n",
    "# additional imports for plotting purpose\n",
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "%matplotlib inline\n",
    "plt.rcParams[\"figure.figsize\"] = (14, 7)\n",
    "\n",
    "# relative likelihood of x and y\n",
    "x = -1\n",
    "y = 2\n",
    "print(\"pdf(x) = {}\\npdf(y) = {}\".format(norm.pdf(x), norm.pdf(y)))\n",
    "\n",
    "# continuous pdf for the plot\n",
    "x_s = np.linspace(-3, 3, 50)\n",
    "y_s = norm.pdf(x_s)\n",
    "plt.scatter(x_s, y_s);"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "pycharm": {
     "metadata": false
    }
   },
   "source": [
    "***\n",
    "* 累积概率密度函数（Cumulative Probability Density Function）\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 79,
   "metadata": {
    "pycharm": {
     "is_executing": false,
     "metadata": false,
     "name": "#%%\n"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "P(X <0.3) = 0.6179114221889526\n",
      "P(-0.2 < X < 0.2) = 0.15851941887820603\n"
     ]
    }
   ],
   "source": [
    "from scipy.stats import norm\n",
    "\n",
    "# probability of x less or equal 0.3\n",
    "print(\"P(X <0.3) = {}\".format(norm.cdf(0.3)))\n",
    "\n",
    "# probability of x in [-0.2, +0.2]\n",
    "print(\"P(-0.2 < X < 0.2) = {}\".format(norm.cdf(0.2) - norm.cdf(-0.2)))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "pycharm": {
     "metadata": false
    }
   },
   "source": [
    "***\n",
    "* 基于数据画出分布"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 80,
   "metadata": {
    "pycharm": {
     "is_executing": false,
     "metadata": false,
     "name": "#%%\n"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Estimated MU: 10.038664111644652\n",
      "Estimated SIGMA: 1.9574524154947084\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "C:\\Users\\bin\\Anaconda3\\lib\\site-packages\\matplotlib\\axes\\_axes.py:6462: UserWarning: The 'normed' kwarg is deprecated, and has been replaced by the 'density' kwarg.\n",
      "  warnings.warn(\"The 'normed' kwarg is deprecated, and has been \"\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "Text(0,0.3,'Normal Distribution')"
      ]
     },
     "execution_count": 80,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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y4N3Am8iCwA3X5NPAtWQ/Y+3dHZxSWhQR7yFbKf1oss9jPbAQuI7smn4uInpboKdrvysi4hyyn/2TyeZ0bSMLBReQ/bx0nSNzQG2Pv4MkSZIkSRqOIst5JEmSJEmSJCkfg7FwjiRJkiRJkiT1mSGlJEmSJEmSpFwZUkqSJEmSJEnKlSGlJEmSJEmSpFwZUkqSJEmSJEnKlSGlJEmSJEmSpFwZUkqSJEmSJEnKlSGlJEmSJEmSpFwZUkqSJEmSJEnKlSGlJEmSJEmSpFwZUkqSJEmSJEnKlSGlJEmSJEmSpFwZUkqSJEmSJEnKlSGlJEmSJEmSpFwZUkqSJEmSJEnKlSGlJEmSJEmSpFwZUkqSJEmSJEnKlSGlJEmSJEmSpFwZUkqSJEmSJEnKlSGlJEmSJEmSpFwZUkqSJEmSJEnKlSGlJEmSJEmSpFwZUkqSJEmSJEnKlSGlJEmSJEmSpFwZUkqSJEmSJEnKlSGlJEmSJEmSpFwZUkqSJEmSJEnKlSGlJEmSJEmSpFwZUkqSJEmSJEnKlSGlJEmSJEmSpFwZUkqSJEmSJEnKlSGlJEmSJEmSpFwZUkqSJEmSJEnKlSGlJEmSJEmSpFwZUkqSJEmSJEnKlSGlJEmSJEmSpFwZUkqSJEmSJEnKlSGlJEmSJEmSpFwZUkqSJEmSJEnKlSGlJEmSJEmSpFwZUkqSJEmSJEnKlSGlJEmSJEmSpFwZUkqSJEmSJEnKlSGlJEmSJEmSpFwZUkqSJEmSJEnKlSGlJEmSJEmSpFwZUkqSJEmSJEnKlSGlJEmSJEmSpFwZUkqSJEmSJEnKlSGlJEmSJEmSpFwZUkqSJEmSJEnKlSGlJEmSJEmSpFwZUkqSJEmSJEnKlSGlJEmSJEmSpFwZUkqSJEmSJEnKlSGlJEmSJEmSpFwZUkqSJEmSJEnKlSGlJEmSJEmSpFwZUkqSJEmSJEnKlSGlJEmSJEmSpFwZUkqSJEmSJEnKlSGlJEmSJEmSpFwZUkqSJEmSJEnKlSGlJEmSJEmSpFwZUkqSJEmSJEnKlSGlJEmSJEmSpFwZUkqSJEmSJEnKlSGlJEmSJEmSpFwZUkqSJEmSJEnKlSGlJEmSJEmSpFwZUkqSJEmSJEnKlSGlJEmSJEmSpFwZUkqSJEmSJEnKlSGlJEmSJEmSpFwZUkqSJEmSJEnKlSGlJEmSJEmSpFwZUkqSJEmSJEnKlSGlJEmSJEmSpFwZUkqSJEmSJEnKlSGlJEmSJEmSpFwZUkqSJEmSJEnKlSGlJEmSJEmSpFwZUkqSJEmSJEnKlSGlJEmSJEmSpFwZUkqSJEmSJEnKlSGlJEmSJEmSpFwZUkqSJEmSJEnKlSGlJEmSJEmSpFwZUkqSJEmSJEnKlSGlJEmSJEmSpFwZUkqSJEmSJEnKlSGlJEmSJEmSpFwZUkqSJEmSJEnKlSGlJEmSJEmSpFwZUkqSJEmSJEnKlSGlJEmSJEmSpFwNm5AyIvaPiF9GxMqIWBMRv42IFwxQ38WI+HBEPBwRpYhYHxFPRsR5EdHWzTGPRkTq5rF0IOqSJEmSJEmSdgSRUsq7hl5FxGzgWmAM8BywBNgTWA4clVJ6rB99B/AL4AwgAQ8C7cBhQADXAC9JKVXqjhkLrARWA/MadLsipXTy1tYkSZIkSZIk7Uia8i6gN7WRjJeTBZQ/A/4+pbQuIk6vbf8u8OJ+nOIfyQLKucDfppRur533WOBK4CTgbcDFdcccThZg/jSldE5fTrJq1aoisHeXzcvJglFJkiRJkiRpexHAxC7b5owbN67SqDEMg5ASOAfYDXgMeHtKqQSQUvptRFwCnBURJ6aUrt3SjiOiGfgk2cjJl6aUnh8VmVK6MSK+A3wIOJ3NQ0qAe7fgdHsDD21pjZIkSZIkSdJ2YD/g4e52Doc5Kd9Qe/7mhoCyzvdqz6dvZd9jga8DH6oPKOts2Da+y/Yja893buV5JUmSJEmSJNUM6ZGUtfkiZ9e+vLJBkzuAMnDc1vSfUloGfK6HJvvVnhd02X4E0AHctTXnlSRJkiRJkrTRUB9JORFoAzppMBw0pdQBPAPsPtAnjohW4HW1Ly+v2z4RmEU2n+SPI+KZiGiPiMcj4usRsctA1yJJkiRJkiRtz4b0SEpgZO15cf3q2l2sAA6JiOaUUucAnvsDwFTgUeCXddtfWHueTrZgz5/IVvk+nmwRnrdGxPEppfu69Le86wna29sHsNz8dXZ2smTJEiZPnkxzc3Pe5WgI81pRX3idqK+8VtQXXifqC68T9ZXXivrC60R9tb1eK21tbV03bZaN1YuUhu7i0hGxG/AkMCeltE83bW4EjgHGp5RWDdB59yG7lXsk8PKU0pV1+z5Bdov48yuN17YXgM8DHwNuTikdU9/nqlWrJgOL67c9/vjjVCrdLmokSZIkSZIkDTvFYpFZs2Z13Txl3LhxS7o7ZqiPpNww1HB9D23KtecRQL9DyohoAf6HLKD8Vn1ACZBS+nxEfBVYXz+6M6VUrQWYrwKOjogDU0r393SuGTNm9LfcIaVUKrFo0SKmTp1KS0tL3uVoCPNaUV94naivvFbUF14n6guvE/WV14r6wutEfeW1khnqIeXK2vPkHtqMrT0P1Hu5iGxhnLuADzVqkFJa0832akT8GdgfOAToMaRsMOx1u9DS0rLdvjcNLK8V9YXXifrKa0V94XWivvA6UV95ragvvE7UVzv6tTKkF85JKZXIbpGeVlvIppGptee1/T1fRJwN/AOwDHhdSmlrJo0s1Z537W89kiRJkiRJ0o5gSIeUNXcAAczuuiMiZgLTgLUppRX9OUlEnAJ8k+z28TNTSvMatGmKiLMj4l976Gr/2nO/6pEkSZIkSZJ2FMMhpLyq9vyWBvtOrT3f2Z8TRMQxZCt4NwP/lFK6ulG7lFIZ+DTwmYiY3qCfPchW/Aa4pj81SZIkSZIkSTuK4RBS/gToBN4VEYdu2BgR48hW0gb41dZ2XlvJ+wpgDPDllNJ3ejnkB2Rh5nci4vl14SNiGvC/QCvwq5TSI1tbkyRJkiRJkrQjGeoL55BSWhQRFwCfBP5Se70c+ACwB7AI+N6G9hFxDnAOcHtK6ew+nOI8YFzt9Usj4u5u6tgQkF4AnE62ivdjEXEHWWj5EqANuBF4xxa9SUmSJEmSJGkHNuRDyppzgSnAu4Dz67avBF6bUnqubts0spW1V9I3h9e9Pqi3ximldRFxAvDPwFuBVwKrgeuAHwM/SSlV+nhuSZIkSZIkaYc3LELK2lyQ746Iy4CzgMlkC+p8PaX0bJe255KFmn3te++tqGc9WVh6fm9tJUmSJEmSJPVsWISUG6SU/gT8Ke86JEmSJEmSJA2c4bBwjiRJkiRJkqTtmCGlJEmSJEmSpFwZUkqSJEmSJEnKlSGlJEmSJEmSpFwZUkqSJEmSJEnKlSGlJEmSJEmSpFwZUkqSJEmSJEnKlSGlJEmSJEmSpFwZUkqSJEmSJEnKlSGlJEmSJEmSpFwZUkqSJEmSJEnKVVPeBUiSJEnD3fULOgasrxOmtw5YX5IkScOFIyklSZIkSZIk5cqQUpIkSZIkSVKuDCklSZIkSZIk5cqQUpIkSZIkSVKuDCklSZIkSZIk5cqQUpIkSZIkSVKuDCklSZIkSZIk5cqQUpIkSZIkSVKuDCklSZIkSZIk5cqQUpIkSZIkSVKuDCklSZIkSZIk5cqQUpIkSZIkSVKuDCklSZIkSZIk5cqQUpIkSZIkSVKuDCklSZIkSZIk5cqQUpIkSZIkSVKuDCklSZIkSZIk5cqQUpIkSZIkSVKuDCklSZIkSZIk5cqQUpIkSZIkSVKuDCklSZIkSZIk5cqQUpIkSZIkSVKuDCklSZIkSZIk5cqQUpIkSZIkSVKuDCklSZIkSZIk5cqQUpIkSZIkSVKuDCklSZIkSZIk5cqQUpIkSZIkSVKuDCklSZIkSZIk5cqQUpIkSZIkSVKuDCklSZIkSZIk5cqQUpIkSZIkSVKuDCklSZIkSZIk5cqQUpIkSZIkSVKuDCklSZIkSZIk5cqQUpIkSZIkSVKuDCklSZIkSZIk5cqQUpIkSZIkSVKuDCklSZIkSZIk5cqQUpIkSZIkSVKuDCklSZIkSZIk5cqQUpIkSZIkSVKuDCklSZIkSZIk5cqQUpIkSZIkSVKuDCklSZIkSZIk5cqQUpIkSZIkSVKuDCklSZIkSZIk5cqQUpIkSZIkSVKuDCklSZIkSZIk5cqQUpIkSZIkSVKuDCklSZIkSZIk5aop7wIkSZK09a5f0DFgfZ0wvXXA+pIkSZK2hCMpJUmSJEmSJOXKkFKSJEmSJElSrgwpJUmSJEmSJOXKkFKSJEmSJElSrgwpJUmSJEmSJOXKkFKSJEmSJElSrpryLkCSJEnqzfULOvp1fKnUyZKVBZ5q6aSlJThheusAVSZJkqSB4EhKSZIkSZIkSbkypJQkSZIkSZKUK0NKSZIkSZIkSbkypJQkSZIkSZKUK0NKSZIkSZIkSbkypJQkSZIkSZKUK0NKSZIkSZIkSbkypJQkSZIkSZKUK0NKSZIkSZIkSbkypJQkSZIkSZKUK0NKSZIkSZIkSbkypJQkSZIkSZKUq6a8C5AkSZIGVEq0dC6itbSQlvJSmjuXUiwtZef1zzFyYdAUZdqXNEOxjSi0QtMoCm2TibbJROsUCqN2JYpteb8LSZKkHYohpSRJkoa1YmUNo9fex+j1DzCy/XFGts+jWF3XuHE5e6qs6anHIEbuSmHMnhTHvoDihEOJUTOJiIEuXZIkSTWGlJIkSRp2WjvmM+G5Gxi79k5GrZ9DUB3A3hNp3VNU1j1FZdHVAETLThQnHkZx8rEUdzqcKLQM4PkkSZI0bELKiNgf+BxwMlnd1wAfTik9MgB9F4F/Bt4FzAIqwGLgR8DnU0rt3RzzAeDdwB7AfOAbwFdSSqm/NUmSJGlTTeWV7LTqL0xYdR0jO+Zt03On0jLKC6+ivPAqaBpN0+TjaJr2YgrjD3aEpSRJ0gAYFiFlRMwGrgXGAM8BC4HTgGMi4qiU0mP96DuAnwNnAAl4EGgHDgP+HTghIl6SUqp0OeZi4K21TXOBycCFwO7A+7e2HkmS1I1qFQqu+bejSSlRfe4hdn/mcsY/dyOFDfdr56m8hvKCP1Je8Edi1Eyad3k1BY6nWnAeS0mSpK015P/Sj4g24HKygPJnwPSU0l7Aq4BxwHf7eYp/JAso5wIvTCkdmFI6AjgeWAucBLytyzHnkAWUq4GTavXMAP4MvC8iTupnTZIkqataQFm8+yaarruCplv+knNBGkwpJcpLb6X9jg/SfseHmPjcdf0KKKsUKTGSUnEC7c3TiLYp0DwOCq39q3Ptk5Qe+RoHznkn0xf/D8XK6n71J0mStKMaDiMpzwF2Ax4D3p5SKgGklH4bEZcAZ0XEiSmla7e044hoBj5JNnLypSml5+8bSindGBHfAT4EnE42cpKIaAU+XWv2zxvOm1JaGxHvBubU9l+zNW9WkiQ1kBJEUHzoLpr/cBnVvQ4gnltB4bEHKJ34qryr0wBKKVFZdiud835MdfWcLT6+sziOdW17sr5tFuvbdqejeSqlpkmsq45kyZKlTJ4yhZaWFk6YvjGcTJV2Uvtiqu2LSeueprp6LpXVj5HWPgV9nOuyqbqW6csuY8qK37B4wqtYvNOrqRTHbHH9kiRJO6rhEFK+ofb8zQ0BZZ3vAWeRhYhbHFICY4GvA8vrA8o6G7aNr9t2IjAVWAZcUt84pfR4RPwZODkixqWUVm1FTZIkqV4toKRSJlYspfNlr6cy+1hixVKabr2GUZdfzLiZ+8Ouu+ZdqfqpsvoxSnO+Q3XlfX0+pkoTq0cdwnOjD2X1yENob90tu166KnX9M3KjKLYRo3ajMGo32OmI57enzjVUVt5DZfmdVJbeSupY0ms9xep6pi+7jMkrfseCyW9iyYRXQAyHP7klSZLyNaT/YqrN/Ti79uWVDZrcAZSB47am/5TSMrLFeLqzX+15Qd22w2rPV6eUOhsccwvwUuAoGtcsSZK2RC1wKt51E8VH76W68x5UIkgTJ9N54iupTJnBhCt/QXNTwCve0EtnGopSaSWluf9NecEfyaYI76U9wepRB7Ni7ItYOebd8UOZAAAgAElEQVRoKsXRg1JXNNcWyJl8HGmfKtVVD1FedA3lxddBZ8//Ft1UXcuui77P5BV/YP7Ud/Lc6MMHpUZJkqTtxZAOKYGJQBvQCTzcdWdKqSMiniFbrGZA1W7rfl3ty8vrdu1ce+7un/jn1p4HvCZJknZIKUGpnWhfRyoUKT58N5V9DqI6c28YMYrOFxzC4lKVqXvuTf9mF9S2llKivPAqSnO+C+U1vbYvF0azbPxLWDLhVEot0zfbXyiXaFu5hBErFzNixWKa162iqWM9xY71RMc61nZ00jp6DNHSSvOUcaTxO5HGTSRNmER16i7Q3NLtuSMKFMcfQHH8AbTs/S4qi2+gc/6vqT632Z+om2grzWevp89jxZjjeHrauyk3je+xvSRJ0o5qqIeUI2vPi+tX1+5iBXBIRDR3M7Jxa32A7LbuR4FfNqjp2R7qAej1nrP29vatLm4oKtVuoyr1cDuVBF4r6huvE226mnfA4S+isOtetN5+DXHTn6kufIbSQUdSqlTp2GkaHa0jSdvZf1v7olQauD9/2tt7H8U4UFL7QqpzvwWr7um9cctE5o09gyVjXky1ttBNrF/P+GfmMPHphxm3cC7jnp3LmKXPEKlvc0huVk+hQGXKzlRmzKQ8cx869z6Q8sy9oam58QHjjyXGH0th9aNU518GK27vsf8Jq//KmLV388Skd7B09Isa35Jesy2/D9qU/+1RX3mtqC+8TtRX2+u10tbWtkXtI6Wh+0dQROwGPAnMSSnt002bG4FjgPEDNQdkROwD3EUWSL48pXRl3b4fAu8A3pJS+kmDY18G/BG4KKX0wQ3bV61aNRlYXN/28ccfp1LpLnuVJGkHlqoQWUA55vEHaV69kkKpnVUvmE21qZmxc++ndfkiqs2tLD/4WMqjx+ZccH7uWFnovVEfHT5+6wK+LZISI9fezNiVP6ew2XTjm6oUxrJ67MtZN/oY7ljVysg1K9j98TvZ+ekHmf7MI7SU1g9qqdWmFtbusier9jmElfscSuf4nbpt+9iyp3lBx++ZWrm/134XFQ/k7ra/o1RovLDONvk+SJIkDaJiscisWbO6bp4ybty4bif5HuojKTcMh+jpL9By7XkE0O+QMiJagP8hCyi/VR9Q9rGm+np6NGPGjK2qcagqlUosWrSIqVOn0tLS/e1SkteK+sLrZAdXWyyn7epf0zT/cSoTJkNzkal//B/aTzyN0ivPpPmhOynOn0dhl11ZuHLVDnutPNUycCMpd53azajBAZI6V1Od+01YcVPPDQstxIwzaN75NUxa10Hr7dex243XsNNTDw5qfZuVUS4x5omHGPPEQ+xy5c8o77onHUeeRPvRp5DGTdyk7VMt05jHkSxbdx8zl/2IUaUnu+13auV+Tm4/n7lT/olVIw/dbP9gfx/UPf/bo77yWlFfeJ2or7xWMkM9pFxZe57cQ5sNQycG6r1cBBxBNpLyQ1tRU5/r2dJhr8NFS0vLdvveNLC8VtQXXic7sLWraX32CUqvfitpajYldHnuQ4z8/U9pmjyd6uxj4QUH01xogpWrdthrpaWl+9uGt1Rb2+DN6llZeT8dD3wBOpb22K445QRa9jybpicX0vz/vk7TbdcSlTKDszTOlml6ei5NT89l5OUXUzn0GDpPPI3KwUdDofD896G95XAeGXcok1ZexYzFl9BUbTzXZktlFfst+ByLJv4Nz0x52yYrgA/m90F9s6P+PtGW81pRX3idqK929GtlSIeUKaVSRCwGpkVEa0qpo0GzqbXntf09X0ScDfwDsAx4XUqp0cRWT9eed++mmwGrR5KkHUpt9OTzmpogJQoLnqJSCymre+5HZebeFBY8RXWfg2DEKOho9OeBhoqUEuX5v6L02Peg2ynGIVon0bLXP9D22FqaP/txivPnDWgdlaZmqFYpVvs/1U5UqzTd+Vea7vwr1em7Ujr1jRRmnUh1w8I7UWTphFNZOeZodl34XSas/mu3fU1d/itGrp/DvF0+SrlpQr9rkyRJGq6GdEhZcwfwCmA2cHP9joiYCUwD1qaUVjQ4ts8i4hTgm2S3a5+ZUuruL+M7as+HdbP/6Nrz/P7UI0nSDqWztPnKyq0jqLzgYApPziHtNJXqrtmcNmniFGL54s1DTQ05qdJOx8P/RWXR1T22a5r2ckYu3JnWL32dwpIFW36eKLBmyq48N2Mv1kydyboJU2mfMJX2sTtRbhtFuaWNUrnCksWLmTxpEm3F4PhR7cTKZcTKpRQWPUNh/rza43GiUu79pDWFBU/TdvF/ctLo7/P4i87kqWNeRbU5GwlZbhrPvF0+yvLVt7Dbgm/RXGn85+qY9Q+y77wPMW/nj7F25L5b/P4lSZK2B8MhpLyKLKR8C11CSuDU2vOd/TlBRBxDtoJ3M3BOSqmnv6TvIFvB+8URMT2l9Pxf0hFRBF5a106SJPWmXKblFz+k8+VnZvP8RUC1AoUilb0PpPm6K2i6/VrSXX+FkaMpPnA7pdPfYkA5xFXbl9Bx77lU18ztvlHzWEbGKYz6wdUUli7sc98pglU7782yvWazbK/ZrNhtP6otvd0aVRtBWShQbW4h7TSWtNOU+j2ZUgfFuQ9SeORemu6/jcJjDxB9WGiydc1K9vv999jjhl/y2ClvYf4RLyMVsz+1V405iodG7MvMBV9j3JrbGh7fUl7O3k9+kqennwPTT+/1fJIkSdub4RBS/gT4IvCuiPhBSulugIgYB3ys1uZXW9t5bSXvK4AxwJdTSt/pqX1KqRIRPwbeB3wlIt6UNi6R/o/AzsBy4IatrUmSpB1JrFlF5eCjSON3ykZUpgQt2Ui0NG1XOl/+eooP3UWsXkWKAqXT3kx1z/1zrlo9qayeQ8c9nyaVlnfbpti6N+OuXUfzIz/tc7/LZx7AwoNfxMIDj6dj3KSBKHVzLa1U9ptNZb/ZdJ7xdmLVcop33UjTrVdTfPDOXgPLtueWcuAv/4vdr/8/Hnr1P7B0nyMAKDeNY+4un2TSit+zy+KLKaTNFzwqUGbmgq9TallM86yziBi4ldslSZKGuiEfUqaUFkXEBcAngb/UXi8HPgDsASwCvrehfUScA5wD3J5SOrsPpzgPGFd7/dKIuLubOuqXXjwf+FvgjcCYiPgZcCTw3tr+C1JKpT6+RUmSdmhp/E5Uxu8EQNNt11Kccz+dJ51Odebe2f5xEykffUqeJWoLlJfclC2QU+1urtBgxLLdGPPb++jLWNg0ZhydJ7ySmw54Get2mjGQpfZJGjeR8kmnUz7pdGLpQpqu/wPN1/2ewvLFPR43eul8jvzhJ1m4/7E8fPp7WD9xGkSwdOJprB25H7Pmf4HWzkUNj+188jKq6xfQut+/EEUX0ZEkSTuGIR9S1pwLTAHeRRYQbrASeG1K6bm6bdOAQ9i4CndvDq97fVBfDkgpLYiIM4BLgVfWHhv8DPhSH88tSZI2SInqbntCRztN119Bdf48yse+NLutO6XsUXBk2VDW+czvKT3yNaC70YatjLuhTNvcR3rtqzpjJqXT3kz5qJOhuYV1C/JfIClNmkbna86i89V/R9Ot19J8xc8oPjmnx2OmPXgjkx+9nTkvexvzjn8tFIqsb5vFw3tcyO7PXMi4tXc1PK6y+HraO5bRdvB5RPNQWNtckiRpcA2LkDKlVAbeHRGXAWcBk8nmfPx6SunZLm3PJQs1+9r33ltZ040RcTDwfrLFclYBl6aUfrk1/UmStMOLoLrLLKpjJ1KcOIXiI/fQfPmPKB/3MtKUGc5BOcSVnryMzrk/7HZ/cX0r4694jqbVPd8uXZm5N6VXv5XKYccP3VC62ET5mFMoH/1iig/eQcv//ZDi3Ae7b14use/vv8/U+//Kfa//EGun7EalOIa5u/47M5b8hGnLft7wuOqqB2m/66O0Hfo5osWVvyVJ0vZtWISUG6SU/gT8Ke86NqitKP6ZvOuQJGlYqlY3hlD1K3WPHU9l/9mk8RMpPnIvLb/6EZ0nv5rqXgfkV6u6lVKi8/GL6Xzysm7bNC+E8X9ZRWHzaRifV500jdLr35WNnByq4WRXEVQOOIL1+x/OI3+5jr2v/G/GLpzXbfMJTz3EcV99L3Ne9nbmHf86KBR5dspbaW/Zmd0WfIMCm68qXl3zOOvv+BfaZp9PoW3KYL4bSZKkXA2rkFKSJA1zG8LIulu3i3feQJo8g+qusza2a26hOnNv0uhxFCZNpbrzHjkVrJ6kVKH06DcpP/O7btuMeKTMmFvKRDcDKFPbSEpnvJ3Ol7wGmlsGqdJBFsHi/Y9m8b5Hsuttf2CfP15My7rVDZsWy53s+/vvs9Njd3HvmR+hNGYCy8e/mFLzZGbNP5+m6trNjknrn6H9jg/TdujnKYzadbDfjSRJUi6GyT9TS5Kk7UJttGTz735C829+TGHO/TRf+X+k0WMbNk87TaFy6DEwYuS2rFJ9kFKFjgcv7DGgHH1nJ2Nu7j6g7DzyJNad/yM6X/HG4RtQ1isUefqo07juwz/kqaNeSephioLJj97B8f91DpMevR2ANaMO4pHdL6CjaXLD9qljCevv/Beqa7ofqSlJkjScOZJSkiRtc+UTXkHLpd+h+PA9VA4/gTRh0qa3f3eWNoZWhWJ+haqhlKqUHvoKlUV/6a4BY24pM/KRSsPd1Z2m0nHWh6gcfNQgVtmz6wdxIZ7OUWN54DUf4NnZp3DQz7/MqKXPNGzXumYlR1z8bzx2yt/x2IvfTEfrLjy6+/kc/OynSesaHNO5ivV3fZwRh11AYdTMQau/NwP52Z0w3dXLJUlSxpGUkiRp26pWSOMmkiZNI40aTfHOG2i6dtPReMW7b6TwxKM5FaiepFSl9PBXKS/sZprwamLs9Z3dBpSdJ7yCdZ/9Qa4B5bayYvcDueH932Te8a/tdlRlpMTef7qEwy75DE3ta+lsnsyIwy6kMHrPxp12rqL9ro9TXTd/ECuXJEna9gwpJUnStlUoEksWEEsW0PHeT9Px1g/QdO8ttPz4q8TC+RSefpzmG/4IRW/4GGpSStkclAv+0LhBOTH+6k5GzKtutqs6ZjzrP/A5Os7+GIwcPciVDh3VljYePv093Hr2F2kfO6nbdlMfupljvv5+Ri1+imgZT9vsL1IYt3/Dtqm0ohZUPjtYZUuSJG1zhpSSJGnbSBsnJkyTp9Nx1oey1zNm0v6+80hjJ9B66bdpuva3VA44YtOFdJS7lBKlOd+h/MxvGzcoJyb8uZPW+ZsHlJV9D2H9f3yfymHHDXKVQ9fyPQ/hhg98i0X7Hd1tm9FL53P0tz5I4eF7iObR2UI5Ew5t2DZ1LM2CyvWLBqtkSZKkbcqQUpIkbRu1213j2ScpPDmHwoKnNtndecbb6XjzP1J69dvofNnr8qhQPeic92PK8y9vvLOSGP+XTloWbhpQpghKr34r6z96YTbv6A6uc9RY7nzbuTx4+jlUC43/DG9Zv4YRX/oXmm76E1Fso+3gcymMP6hh29SxmPa7P04qrRjMsiVJkrYJQ0pJkjR41q+jeM/NsGYVAMVbr6HlNz+m+fc/o+mvV9Jy6beJJQueb54mT4ex4/OqVt3onP9bOp/4n8Y7awFl64IuAeWIUbR/8HxKr/t7b92vF8GTx7+GW8++gI7Rja/1KHfS9u3P0vybHxOFVtoOPq/7W7/XL6D9nn8nldcNZtWSJEmDzpBSkiQNmuKj91K8/3aa7ryRwuMP03TvLXSe+gZKb/knyiecShoznuY//XKToFJDS3nxDZQe/UbjnZXE+Gs6aX1204CyOnVn1n3qm1QO6f7W5h3dilkHceP7vs7KXV/QbZvWn3+f1ov/kyi00HbIf1AY27htdfVjtN/3H6Rq52CVK0mSNOgMKSVJ0qCpHHI0ldnHEssXU3z47uyW72KRNHYC1d32onzEi4iO9RSefTLvUtVAZcU9dDzwRSBtvrOaGHfd5nNQlvc/jHWf+hZpxsxtU+Qw1j5uMre8+0ssOOiEbts0X/s7Wr/1WYIW2g75HIUxezVsV11xFx0PfZmUNp8TVJIkaTgwpJQkSYOjmoUllf0Po3zyq0gjRhFrVlG84wZi0TMApCkzqO68RxZSVg1XhpLqmsdpv/czkBqPzht7U5m2pzb9npVOOYP2D18Ao8duixK3C9XmVu5+0yd4/EVndtum+darafvap4jUTNshnyVG7NywXWXR1ZQe+/5glSpJkjSoDCklSdLgqC0MEgufpvjQXZRPfhWl095MlDpouu0amm68isIj91KY+yDVXWY93175q3Yso/2eT0Gl8TyHo+/oZMRjlU22dZz5Lkpv/QA0Of/kFisUeOSVZ/PAGf9EisY/B01330TbV/6VqLbQdujniJYJDduVn/4FnU93s8CRJEnSEOb/DUiSpEEV69ZSvPsmWn7+farTds1W7m5qpum2a2i++tdUDj6KykFH5l2malKlnY57zyV1LG24f8SDZUbevzGgTFGg/Z0fofP0tzy/gru2zlNHv4o73n4uqaWt4f6mB+9kxJc+QqE6itZDPgvFkQ3bleZ8l/Ky2wazVEmSpAFnSClJkgZVdbe9KJ35LtLI0bT+v4uIBU/Reeob6HzRadm8lEefkneJqkmpSseD/0l19ZyG+1vnVRhzW5kNUWRqbqH9/edRPvG0bVfkdm7Jvkex/iMXkEaMari/+NgDjLjwoxSbptN28Kchmhu0qtJx//lU1zwxqLVKkiQNJENKSZI0sFK2yEosXwId66GpibTTVDpPPI3K7GNpueJSmq/6BZUDDqfzJa/xNu8hpHPeJVSW3NBwX/OCCuNu6NwYUI4YxfqP/CeVw47fdgXuIKr7HMz6j11IGtV4bs/i3IcY8eWPURy5D637f6RxJ5V1tN97Lqm0chArlSRJGjj+X4EkSRpYEVAu03TjlTRf9Qtiw8rdo8ZQ2fdQ0pjxFB69j6a7boSW1nxr1fMmrrqGzid+2nBfcVWV8dd0ErV1ctLILKCsvuDgbVjhjqW6x76s/8RFVMc1nnuy+Oh9tF30SZomHEXzrLMatkntC2m/7zxStTSIlUqSJA0MQ0pJkjTwCkF1j32huYXmm/9C8e4boVwmTZhEZb/ZdL7ijZSPOjnvKlUzcv0j7Lbgaw33RUdi/J87KdRyriygvJDqnvttwwp3TNVdZrH+E1+jOnFKw/1ND95J21f/neYZr6Fp2ksa97HqQUoPf41UG+EsSZI0VBlSSpKkgVHNhtnFwqchJSoHHE559nFUp8ygMO9Rmv/4vxTvu43iPTeTxo7PuVht0FReyaz5X6SQypvvrCbGX91J0+os4EojR7P+oxdSnbXvNq5yx3L9go7nH9elyVz/zi/QPnanhm2b7ruVdV85l9tHv4s1IxoHx+WFV1F+5reDWbIkSVK/GVJKkqSBUSjA6pW0XvodCs9kt3inKTMoH/kiqvscCNUqTXfeQPnoF5MmTcu5WAGQyuzxzJdoKS9ruHvsTWVaFmXhcxo1Jgso9zCg3NbWTdqZW8/+Ah2jG4f7Ux+8if1/9S0e3/njdDRPbdimNOfbVFY9OJhlSpIk9YshpSRJ6p+620ijVKI6YyZp9Jhse0rQOoLKAUfQ+Yo30PHW97vQyhCy8+IfMWbd/Q33jby/zIjHKgCkthGs//AFVPd4wbYsT3XWTtmNW8/+IqWRjRfT2fX2P7DH1b9i7q7/RqUwcvMGqULHfZ+l2tE4kJYkScqbIaUkSeqfyNZ7Lt52LU1//SOUOkjNLdn2iOdvA6fYBIVijoWq3oRV1zJ1+a8b7mt5tsLoO7Pbv1NzM+3//HnnoBwC1kzbndv+/nw620Y33L/XX37ClDvv4YkZ/9xwfyotp+P+z5GqnYNZpiRJ0lYxpJQkSQMiTZpKYfliCs/Mo+n+26Fcm+OwUPtzoxZmKn8j2p9g5oKvN9xXWJMYd10nkSAVCrS/91wq+83exhWqO8/tvBe3vfNzlJtbG+7f/9ffoO2JEgsmvaHh/uqqByk99r3BLFGSJOn/s3fn4XFUd77/36eqF0mtxZa87xvYZrUNhB3CjjE7hD2BBIaQmdyZO3fuPMncuZmbOzPPnd9k7vxmfrNCEpYASSAQSIAQ1rCYneAF4wW8b5IlW4u1d3dVnd8fLcsWXQJjS9Vq6fN6Hj/tqnOk/tguUOmrb51zSFSkFBERkUOzr0MSIPAJZs4j/bX/ir/oDNyV7+AufwM62gqXT0I5ficzd/49js3kD3qWUa9kcNK5w/Qd38VfdHq0AeVz7Z02j+W3fI8gpDPZWMuCR/6e7tZj2Js6IfTjvR1P4e16ZbBjioiIiHwhKlKKiIjIwdu3/mQ209shGXvjeUzd9lzR0nHJnn8V3tlLiK14h8Rvfo7ZXVfAwNKHtUzb9R+UZGpDhyvfzhJvyv0bp2/5Y7zTL4wynXwBe+aexKpr/jR0zPGzLPrp31BfcgPpePgmVemP/4Wgc8dgRhQRERH5QmKFDiAiIiJFpOeR7cQT92FLygimzCT2xnN4J56ZK1oGPjgu/vyF+NPmkHjqIfC0/t2BltalC/beNS0vUN26NHSsdK1H6aZcd2zmkhvJXnB1lNHkENSecAHJ9mbm/fbevLFEZxsLH/p7lt/+pxxZ/9cQfOq687tIf/R3lJzwTxg3EVFiERERkf6pk1JERES+sMzlX8XZXUf85V/hnXERlJT1dlJiLXR1QqqCzI1/iJ04rdBxhdw6lFPrfxw6Fm8IqPh9bg3R7MnnkPnKH0QZTQ7D5rO+wubTrwodK9+9g/mPP0TyiG+HjgftG8ls+OFgxhMRERE5aCpSioiIyBcTBFCawiaS2OpxxN54ntgrTwE9j4IbQ+yD13E2f1zQmLKfE3Qxc+cPQtehNGlL1esZTAD+kceSvuO7+zc7kqHPGNYtuZNdx5wROjxmwwpSL3xIbOLFoePezmfwGsK7a0VERESipDtQERER+WIcB1O7FRMEpO/4Dunb/hvu6mUkH/xnnB2bcdatJPbuK9jK0YVOKgDWMrXubkoyO0OHK9/M4nZA+5gpdP3J30IifNdoGcIch5XX/Tl7Jx8ROhx/9WlSW8dhUjNCx9Nr/4mgM3ydUhEREZGoqEgpIiIiB+eA3bztpOmkb/tvud9PmEr6298nGDOBxK8eIPbBUrzTLsDWjCtUUjlAdetr1LS+GjpWttqjZHtAJlXF77/+t1BeFW04GTBBooQPbv3fdFeOCR1PPvJjypKXgxNShPY7Sa/+f7CBN8gpRURERPqnIqWIiIh8viDofQTYXflubkfv2q37x4DspTeTvvm/kLnqNrxTzy9UUjlAIlPP1F33hI7FdgeUL/MIHJdlt3yPrpqJEaeTgZaurOGDW/83Xjy/EGlsQOqHd5OcdEvoxwZtn5Dd8tPBjigiIiLSLxUpRURE5PP17Oodf+FxYm8+j2nfi50wJTfW3dk7zY4eA2XlhUgon2Z9ZtT+M27QmTdkMpZRr2cxAay+8ts0zzy2AAFlMLROnsPKG76L7flv9kCmo5WKB58jNu6c0I/NbnkUv2X1YEcUERERCaUipYiIiHw+YzDNe3A//pDM9XeRvfg63BVvE//VT0g8/mPctcsLnVA+ZULjLynvWhM6VvlWFrfdsuXUy9nxpUsiTiaDreHo0/jkoq+HjrnbN1LxRhembErIaEB6zT9gvY7BDSgiIiISQkVKERERCXfAGpQAGIMtTeFs/QT3/deIv/5bghlHYCtGYWq3FSajhCrrWs/E3Y+EjpVs8CjZGrBn9gLWXfrNiJNJVDadfR11x54ZOpZ4+1VSLQvBuHljtnsXmU/uHux4IiIiInlUpBQREZFwTt/bBDuqBn/WPOKvPYtTv4PMNbfjLzgNWz0WZ9c2sLZAQeVATtDNjNr/F4OfN+a2BVS869FZPZEVN/0l1o0VIKFEwhhWXftntE6YGTpc9sgvSZaHrx3r7XoRr2HpYKYTERERyaMipYiIiPSVSZN4+F+go21/N6Wf2/XXO/cKuu/6S7LnXQVd7bjL3szt5n3Keb3rVkphTa6/j5JMbf5AYKlcmsWaJMu++ldkU5XRh5NI+clSln/1r7Ah68QaG1Dx0Gs45XNDPza97v8jSO8Z7IgiIiIivVSkFBERkb4y3fjHngypit7iJG4MAj9XtCxNgQH3k1W461eRPfdygtlHFTazAFDV9i5jW54PHUt96JPYbfnoqj+mbeKsiJNJoXTWTKL7W98L3UjH3dtC5Zs+uGX5H+i1k17zj1gb5I+JiIiIDAIVKUVERKSv8ir8408GIP7qMyTv/0dMSyM4bu4R8CCAkjKyl95M5to78BecVuDAAuB6rUyr+/fQsfjugNSHHttOvoTaReGP+Mrw5R93Mplr7ggdS674iLK28N3dg+bleDueHsxoIiIiIr1UpBQREZG+rO19zNs77mSC8ZNJPPKfuCveyo07Tq6r0tpch6UMCVPrf0jc35t33mRzj3nvnXwkay/9VgGSyVCQXXIj3vGnhI6lHn+dWDK8UJnZeB9BZ8jyASIiIiIDTEVKERERASD+3C9wtm/KrS3Zs2mOHT+Z7DmX451yLrH3XyP+6wch3ZXrqtQalEPGqNa3qW4N3+ik4j2PwC9nxU1/SRBPRJxMhgzHofvOvyCoHpc/ZC1Vv1yPidfkf1yQJr3un/TYt4iIiAw6FSlFREQkV3gMAuK/+RmxN1/Yf95aKC3DP/ZLZJbchPF9Su7+W0zt1sJllT5cr5Wpu/4zdCyx3Se5MWDl9d+hq3pCxMlkyCmvovuP/hfWdfOGYo0tVHwYsjYlELSs0mPfIiIiMuhUpBQRERFIlpI97wqy516O+8kqEo//GFpb9ndLujHspOlkLrgK75TzsaPHFDav9Jpaf0/4Y95pS+XbWTaeexN75p5UgGQyFAVzjibzlTtDx0rfW0+ye3bomB77FhERkcGmIqWIiIjk1qBMlmIrRhFMmYmzYTXJnwfuCegAACAASURBVP0b7sp39s+xFipG4Z10dm6Hbym4Ua1vUd36RuhYxXtZWiYez4bzbo44lQx12Yuvw1t4euhYxRNrMO7o/AE99i0iIiKDTEVKERER6d21O/nYj7ClKbIXXoN//KnE3n2F+NMPQya9v6vS0e3DUBDz9vb7mHdym4+zK8XKG76TWz9U5EDG0H3HdwjGjM8bcrOWyqXp0A/TY98iIiIymPRdhoiIiABgGnZiK0fhnXIe/qIz8E44g+wFV+Fu/pjkff+As3V9oSPKAabuuoe435p33qQtFe9kWfWV/066MmQjFBGA8kq6//B/Yd1Y3lDJ+iaSzfkFTMg99p3I1A12OhERERmBVKQUERERAGyqArO3mdhbL+ZOJJIEU2cTTJmFHT0Gq52hh4yq1rcZ3fZm6FjFu1m2L7yS3fNPiTiVFJtg9lFkrr0jdKzy2a0YKkM+KM30un8FPfYtIiIiA0xFShEREcmpGEX23Mtxdm0n9sbzmN11uUeFO9vw5y/ETppe6IQCOH4H0+r6f8w70z2djxffHnEqKVbZi6/DO2pR3nnHg6pX8jt1ASo6V1PT8tJgRxMREZERJv/5DhERERmx/DlHY9rbcOq2EfvgdWxlNRiDf9zJhY4mPSY3PEg8CNnNu9tS9nuHd/7gfxAMka7XpXXhaxvKEOI4pP/gL3D/5+2Yjr5FyeS2bkrqxtE9Mb9YObnhAfaWn4gXr44qqYiIiAxzKlKKiIhIjrVQmsI79TxMYz2mqxMCn2DspEInkx6pzjWMbXkudKzi/SwfX/gndIybFnEqKXa2eizd3/hzSv/1e3ljFb9rIHNjNYHT2ed8LOhgav2P2DzlO1HFFBERkWFOj3uLiIhIjjEQ5NaZszXjCabMJJg2B0rLChxMAEyQZcaOfw4dS+z0aUmdxo4TL4o4lQwX/olnkj17Sd55x4OK3+V37gKMbnuLqrZ3BzuaiIiIjBAqUoqIiMh+jm4NhqoJu39B0q/PH8hakh+Vs/qqP8kVmkUOUfqmPyIYPyXvfMlOn2Rt+BICU3fdg+N3ho6JiIiIfBH6TkRERGQksrbvqwxpJeltTGh8PHSsfIXH6kv+O9mykJ2YRb6IkjK6v/U/sa6bN1S5tBUTxPPOJ7xGJu1+OIp0IiIiMsypSCkiIjJS9DzKDezvuDMGAr8weeTg2ICZW/8RY4K8oVhjwJ7Ki9lz5IkFCCbDUTBzHpmrv5F33umGirfCOybHNj9LqnPdYEcTERGRYU5FShERkZEgCHKPcluLu+wNYm88R+yN53vO93RNqatySBrb+BtK/S35A4ElvmY0H19yZ+SZZHjLXnID/pxj8s6XbPSJ78nvsjRYpu36d4zNRhFPREREhikVKUVEREaCnrUm479+kNjKdzHtbbjrP6LkX78Hne25OVrPcMiJec1MqX8gdKxsbcDqi/8CP1ESbSgZ/hyX7j/4LjaR7HPaAJWvd2KD/G8hStPbGNf4q4gCioiIyHAUK3QAERERiYbZ24TTUEvm2juw1WNJ/OKHBDXjcHZuwanfiXeGdoYeamZu+meM4+Wdd9sC6quuomXa/AKkkmKztC59CB81lukXfYOjnv7PPmdjbZaK5WnaT8hfn3Linl/QXHkWmcT4Q0wqIiIiI5k6KUVEREYIW1IKgGnfi7P+I0xDLdkvX4ZpacQ0huwaLQVVuXc5Ff6K0DHnk3FsOOdrESeSkWbrqZfTOOu4vPNlq32clvxvIxybYUr9vVFEExERkWFIRUoREZGRIlmKP3s+iV8/SOKJ+8hecgNUjsJpacSkuwqdTg5gbJZZW/5v6Fhyc8DqC76HjeV3sokMKMdh1bV/hpco7XPaWBj1ZlfoMraj2t+lsu39iAKKiIjIcKIipYiIyDDnrniL5AP/CO2teKddgD/3eOzYicRWvE1s6W9x13xA9uxLCx1TDjB10304ifa88yZjaSi/hvbxM6IPJSNSV/UE1i3J35wpvsdS9kn+UgQAU+t/iAkO5RFzERERGclUpBQRERnm/KNOwMbilNz7A5wdm8mefiHZcy7DVlRhS8vJXPV17PjJhY4pPRJdtYzp/G3omLt5NJtO/2rEiWSk2/6lxew+8oS88+XLPUxILTKZbWDCnscjSCYiIiLDiYqUIiIiw82nn8FMJMnc8sdkTzufxBP3EX/zBYLJM8lecDX+iWcSTJtTmJwSau7av4FY/nO0bpNlzcnfw7puAVLJiGYMH13zp2RLUn1OO2mo+H029EPGNz1BMr0zinQiIiIyTKhIKSIiMtwYA4C76n1MS2Pvaf+kL5O5+du5x7/v/0ecbRsLlVD6MX7r08RLa0PHWv3zaJ+ogrIURnfVWNYt+Wbe+ZINPvGGIO+8Yz2m1v8w/4cmIiIiIv2IFTqAiIiIDIJsBnf9R8SW/hbvzIvxj/0SAMG4yfhHHIvp7oTOtgKHLA5L66JZW8/JdjBlz/3Ysvwxd0cZn5z7R5HkEOnPjhMvZOLK3zFmw/5d5w1Q8U6WpsuSuYMDVHasYFTbW7RUnh5tUBERESlK6qQUEREZLoIDupniCTKLr8c79Xxib79M/OmHIZOGRBIqqsiedyXBvAWFyyp55q34P9gyP++8SVvWz/sO1tXPlqXAjOGjq/4rXjzZ53S82VK2NnwTnSn1P8bxO6NIJyIiIkVORUoREZHhwsl9WXfffw1nx2YoLcM/7ktkltyISXdT8h9/Tfyph3DXrcCOGV/gsHKgqvoVlJSuCh3ral9Ey1QVlGVo6KqZyPqLbss7n1rh4XTmP9qd8JqYuOfRCJKJiIhIsVORUkREZDjoWffNtDQS+/BdbDyRO+/GsJNnkLnkBrJfXoKtqib9lTvB0eYrQ4a1zN7wA3BN3pDTEmfdyd8tQCiR/m057Qpaps7rc87JQsX74ZvojGt6ipL0tiiiiYiISBFTkVJERKTYWZvbLMfLYhp2YpOlsK9Iue8R8LJy/AWn4Z29BDt+cuGySp6ZH94L1R35A4Fl24S7COIl0YcS+SyOy6pr/5TgU0sQJLcEJOpCliwgYMquH2kTHREREflMKlKKiIgUu57dvGMfvEFs+VuYznYIegoFjrO/UKkCwZCTaG+kJv1M6Ji3dxoNM8+POJHIwWkfP4ON59zY51xuEx0P/Pz/11R2fkhV2zsRpRMREZFipCKliIhIMTug8OjPOZpg4nQIfGJvPI/ZtSM34Dj7uy1lSJn//t8QVOQXdEwa1h3/VwVIJHLwNn75etrGz+hzLtZqKVuT300JMKXhfkyQiSCZiIiIFCMVKUVERIrVvsJjZzuku7A14/DOWox39hIAYsvewF27PLertwqUQ87Y9UuJ1WwKHWuKX0QmNS7iRCJfjI3FWXXtn2I/9f+X1Ifhm+gks/WMb/pVVPFERESkyKhIKSIiUkz2bZDT2ICpz3VKJp64H2fbxt4p/vyFeKeeD/EE7oq3cTeuKUhU6Z+TTTNz879g4/nFY9tRyuajvlmAVCJf3N6p89h6ymV9zjkelH8QvonO+D2PE8/uiSKaiIiIFBkVKUVERIqJMRAExN54jvhbL5H4+X9gOloJjjgmN96zFqUdP5ns2Uvw5x6HP2t+AQNLmCPe+He8qeGPvW6Z9sdgtPu6FI/1F91Gd0V1n3MlmwLiu4O8ua5NM7nhJ1FFExERkSKiIqWIiEixcRyyV3wt99vtG/HnHINpacxtkOO4uUJlawskkviLzoCkdoceSsrrNlEVeyV0rDs9i+Zxp0WcSOTweCUp1l72rT7nDFDxXng3ZXXr66Q61eEtIiIifalIKSIiUqScnZvxj1qEs7uW2NLf4mxeB+kucFwSTz2Is25FoSPKpwUB89/5P3hjQm7BPMP6+X8RfSaRAbDr2DNpmPulPufieywlG7zQ+VN3/Qhs+AY7IiIiMjKpSCkiIlKMujrInnIe2UtvJrv4enBcYu+/RuytF4k/+whOY/3+R8BlyJj6+6ex0xtCx/aULyab1GY5UqSMYc0Vf4QfT/Y5Xf6Bh8nkb6JTlt5ETcvLUaUTERGRIqAipYiISDEqTeGfdDYAtqqa7JIb8ecdj+nugliMzDV3gBsrcEg5ULyjlSm1DxCU5m+WE2TL2D796wVIJTJwuqonsOG8m/ucc7tzu32HmbT7IWy2LYpoIiIiUgRUpBQRESl2PTt++wtOI3vBNWQvvJZgyswCh5JPm/u7fyM9J/zx1i1T/xDrJCJOJDLwNp95DW3jZ/Q5V7bWx92bv4lO3G8ls/mnESUTERGRoU5FShERkWJnDujMi6l7ciiq2raO8sRb4OZ3UXYxk5ZRZxQglcjAs26Mj67+4z7nTAAV74d3U3o7nybo3BFFNBERERniVKQUERERGUyBz7zX/4HMNDdkDDbP+rO+hWaRItcy/Wi2femSPueSOwMS20M6ia1PZsO9ESUTERGRoUxFShEREZFBNO3dZ7AzwjfLaSw/l+7k1IgTiQy+jy/+BunyUX3OVfzegyB/Ex1/z9v4zSujiiYiIiJDlIqUIiIiIoMk0dbM9I/vx6vJv+UKggQ7pnyjAKlEBp9XVsG6JXf2ORdrtZStC1+XNbP+h1gbPiYiIiIjg4qUIiIiIoNk3m/vpuvY/A1DAGrH3YTvVkScSCQ6tQvOpWnGMX3OpVZ6mHR+N2XQvhFv18tRRRMREZEhSEVKERERkUEwetMqqvylBGX5601mqWb3mEsLkEokQsaw5oo/InD2f8vhZHKFyjDZjQ9g/e6o0omIiMgQoyKliIiIyAAzvsf85/6ZjqPDd1vfNuWbWBOPOJVI9NomzmLbqZf3OVf2sY/bmt9hbDNNZLc+FlU0ERERGWLC75xFRERE5JBNf/NXMHUXxPNvtToSc9lbfnIBUokUxvoLvsbEla+RbG8GwARQ/nuPvecm8uZ2b32cZbHzyMZrDum9zpyYPKysIiIiUjjqpBQREREZQMnWRmZ+8BDds928MWth26Rvgsl/BFxkuPJKUqy75I4+55LbA+K78rspXZtm0u6Ho4omIiIiQ4iKlCIiIiID6Mjn7qPzeD+0ENlUdQ5dpbMLkEqksGoXnkfTjKN7jw1Q8X42V7n/lOq9r1DatTHCdCIiIjIUFE2R0hhzlDHmSWNMizGm3RjzjDFm7iC8z3HGmFZjzPc/Z94Lxhj7Gb/KBzqbiIiIDG1V29YxZvfvyE7M76IMiFM77qsFSCUyBBjDmiu+3WcTnXiTpWRjfjelwTKl4b7QAqaIiIgMX0VRpDTGLATeAa4k94PXXcAS4C1jzJwBfJ8JwNNAxUFMPwHoBlb288sfqFwiIiJSBIKA+U//G+0nhi/5XT/mmkNeZ09kOGibOIttp/TdRKd8eRa8/GJkRedHVLW/F1U0ERERGQKGfJHSGFMC/Ipc4fARYKK1dg5wGVAF/HCA3mc28DIw7SDmzgSqgdestQv6+dU1ELlERESkOExe9iKJ8k34lfm3V1mnivqaqwqQSmRoWX/BV0mXj+49djsh9VH4z/YnNzyAsdmooomIiEiBDfkiJXAXucLhBuBWa20ngLX2GeAh4BxjzNmH8wbGmPOA94A5Pa+f54Se1w8P531FRERkeIh1d3DEy/fScXx4F+XO8bcSOCURpxIZerzSctYtvr3PudRqD6czv5uyJFPLmObnooomIiIiBVYMRcrrel7/w1qb+dTYj3peLz3M9/gekAUuBH57EPNP6nlddpjvKyIiIsPAnJcexpvVgU3mb5bTmZxJU9U5BUglMjTVLjqf5ulH9R4bD8qXeaFzJ+55FMfviCqaiIiIFNCQLlIaYwywsOfwhZApHwAecPphvtUTwNHW2tcOcv6JPa9vH+b7ioiISJFLNWxjyopf0zk/f7McgB3jvwFmSN9yiUTLGNZc9odYs7+oX7LRJ9aYv4lOzG9jQuMTUaYTERGRAhnqd8zVQAm5Lsd1nx601qaBncCMw3kTa+2/WGsbD2ZuT+H0BKAL+GtjzFZjTLcxZocx5gFjzPzDySIiIiJFxFrmP303ncc74OZ3Ue5NnUh76rgCBBMZ2lqnHMGOEy7sPTZAxe/DuynHNT1FPHtQt+oiIiJSxMIXTho6ynpeG6y1/e2W3Qwcb4yJWxvJytpzyW3YA3ANuQ7PPeQKl7cCNxpjllhrX/q8T9Td3T1oIQshk8n0eRXpj64VORi6TuRgDfa1ksn0f3sxYe07jNqzjKZTE3ljFsOW6puK6hru7s5fF/BwfNbfXdQ8L9vnVQpv9bk3M2HV68TTuf0mE7sCEjt8MlP6diU7NsP4+ofZNO5bn/s5D/ca1tceOVi6VuRg6DqRgzVcr5WSki+2JvtQL1Lua0no/Iw5XT3zyoC9g54IFvW8vgZcba1t2jdgjPlD4N+Be40xR4SsodlHbW0tvt9f7bV41dfXFzqCFAldK3IwdJ3IwRqsa2V3S/iDJ66X5Zzf3EP7STEw+V2U2+Knsq0lCTQMSq7BsD2T/7jt4ejv766QmpuaCx1BDrDshEs5+a3Heo/Ll3k0TXby/psa2/YKq/1TaXcnfebnG6hrWF975GDpWpGDoetEDtZwulZc12XWrFlf6GOGepFyX6th12fM2fdcSCkRFCmttT8zxjwJ+J8uQlpr/8MYcxlwMblNeJ75rM81adJn32QVm0wmQ319PePHjyeRyO8oEdlH14ocDF0ncrAG+1rZlgjvvDvytUdJljXRMiX/PX2TYM+krzE2VjPgeQbT1PHxAf18/f3dFYLnZWluamZ09WhisYH9c8qhqz//Rto/fpPyxloA4s2Wko0B3XP6dlMaLAt4jo/HffczP9/hXsP62iMHS9eKHAxdJ3KwdK3kDPUiZUvP69jPmFPZ8xrZn8Va+1lF0xfJFSmP53OKlF+07bVYJBKJYftnk4Gla0UOhq4TOViDda0kEvldkiUtDcx5/TFaLwq//dhdfTmmbCLFdotZUpIc0M8X9ndXaLFYfETf/A85iQTrLruLEx/4q95T5SuydM/MX+d1dOcHVGc/oT11TL+fbqCuYX3tkYOla0UOhq4TOVgj/VoZes/gHKCnU7EBmGCM6e+OY3zPa0c0qT7Xvu7KqQVNISIiIoNm7nP34U3J4tXk30p5bgW7aq4uQCqR4rR73sk0zD2p99jtgLI14UsiTW54AOzArp0qIiIiQ8OQLlL2+IDcmpMLPz1gjJkOTAA6rLWRLDBkjLnBGPODz5hyVM+rFjwSEREZhqq2rWPih6/QvjC8i7JuzPUEbiriVCLFbd2SOwmc/Y94pz7yMOn8YmSqez2j2t6KMpqIiIhEpBiKlC/2vN4cMnZxz+uyiLIAfBv4c2PMCZ8eMMaMAq7tOXw1wkwiIiISBWuZ/8zddM5zCSryb6PS8QnsGX1xyAeKyGfpGDeNradd0XvsZCD1oRc6d1LDgxg7dNY7FRERkYFRDEXKnwFZ4A+MMQv2nTTGVAHf6Tn8dYR5ftzz+p/GmIoD8lQAPye3fuZy4IUIM4mIiEgEJq58laq6tXQcG95FWTv2ZqzRpiwih2LDeTeTTlX1Hpet83Ha87spS7K7GNOsW20REZHhZsgXKa219cAPgCTwO2PMd40xdwJvATOBeuBH++YbY+4yxqwwxvw49BMevgeB3wAnARuNMU8aY54AdpDr7FwLXG2tFssREREZTpxsmrm/vZeOY2PYkvwNYTpKZtNceUYBkokMD15pOZ9cdFvvsQmgfHl4x+SEPY/i+J0RJRMREZEoDPkiZY/vkytEjgb+DriH3NqPLeQKgq0HzJ1AbmftOYMRxFobAFcC3wJ2kitMfhlYCfwXYJG1dstgvLeIiIgUzsylvySR3U3nfDd0fOe428AUy62VyNC048SL2Dtp/218yaaAWGOQNy/u72V845NRRhMREZFBVhR30tZaz1p7J3AB8FNyj1L/HXC0tfatT839vrXWWGu/fIjvte/jv/85ee621i601pZaa6uttWdZa//NWtt9KO8rIiIiQ1eytZFZrz5K+4IYxPK7KPemTqA9dVwBkokMM47L2svu6j00QPkH4WtTjmv6NbFsU0TBREREZLAVRZFyH2vtS9baW6y1F1lr/4e1trbQmURERGT4O/L5B7Blabrn5HdRWgw7x32tAKlEhqfmmcdSd+yZvcfJuoBErZ83z7VpJu55JMpoIiIiMoiKqkgpIiIiErXKneuZvOxF2hfFwOR3UTZVnUN3yYzog4kMYx9ffDuBu38TqvIPPAhZ8n1My4uUpLdHGU1EREQGiYqUIiIiIv2xlvnP3EN2LGSm5ndRBiZB7dibChBMZHjrqpnIltOv7D2ON1lKNuWvTWkImLj7p1FGExERkUGiIqWIiIhIP9wPljJ68yraF8VDxxuqLyUbHxtxKpGRYeO5N5JJVfUely/3wM/vphzd9jZlXZ9EGU1EREQGgYqUIiIiImGyGZKP3E1mskN2fP4tk+ekqK+5pgDBREYGryTF+gu+2nvsdljK1uWvTQkwueHB0MfBRUREpHioSCkiIiISIv7iE5jdtbQvjIWO19dcje+WR5xKZGTZftIltI+b1nucWuVhMvnFyIrOVVR0rIwymoiIiAwwFSlFREREPsW0NpN46iHS0x28mvzbpaw7mt3VlxYgmcjIYl2XtUvu7D120lC22gudO2n3g1ibv26liIiIFAcVKUVEREQ+JfHE/dDd0W8XZd2YrxA4JRGnEhmZ9sw9id1HntB7XLbGx3Tld1Omujfi734jymgiIiIygFSkFBERETmAs2MTsVefoXu2i1+Vf6uUjo+jcfSFBUgmMnKtu+ROrMn99+h4UP5heDdlZtNPsEH4upUiIiIytIW3B4iIiIiMUIlH7wET0H58MnS8bsyNWBO+23exW1qXLnQEkVDtE2aw/UsXM+3dZwEo/cSn4yiXoKLvDxJs5068XS8Qn7S4EDFFRETkMKiTUkRERKSHu/oDYh++S+dcl6Dc5I13JabSVHV2AZKJyPoLbsVLlgFgAihfEd5Nmd38U6yvgruIiEixUZFSREREBCAISDx6D0EMOo4Lf9ikduzNYNyIg4kIQKZ8FBvPuaH3uGRzgNucv1GOTe/B2/l0lNFERERkAKhIKSIiIgLE3nkZd+sndB7lYkvyuyg7So5gb8UpBUgmIvtsOf0qOkePB8BYKF/ez9qUWx7Feh1RRhMREZHDpCKliIiISCZN4pc/JkhC59H9dFGOuwVMfvFSRKITxBN8vPj23uPk9oB4Q343JV4b2W2PR5hMREREDpeKlCIiIjLixV96EmdPPR3HxLCJ/EJka9lxtKUWFCCZiHzarmPPonn6UQAYoHxZNnRedtsT2ExzhMlERETkcKhIKSIiIiNbeyuJpx/GL4POeeHrTdaOuyXiUCLSL2NYu+SbvYeJektih58/L0iT2fLzCIOJiIjI4VCRUkREREa0xNMPYzrbc5vlxPK7KFvKT6azdG4BkolIf/ZOm0fdcWf1Hve3NqW381mCrrqoYomIiMhhUJFSRERERiyzu474S0/iVRi6jgjrojS5Hb1FZMj5+KJvELi5NWTjTZbk5pBuSuuR2fRQxMlERETkUKhIKSIiIiNW4pf3YrwsHcfHwMnvonTHn0N3yfQCJBORz9NVM5Gtp1zWe1y+3IPA5s3z618haN8cZTQRERE5BCpSioiIyIjkbF5H/O2XyI4ydM8KuSUyLolZX40+mIgctI3n3kS2JAVArM1Suj6kmxJLZtMDkeYSERGRL05FShERERl5rCXxyN0AdCyMgcnvooxNWoxTOjHqZCLyBWRTlWw858be49RKD7yQbso97+K3rI4ymoiIiHxBKlKKiIjIiOOufIfYuhVkxhrS00LWonSSxGfcmH9eRIacraddQeeo8QC4XVC2NqybEjIb78Pa/AKmiIiIDA0qUoqIiMjI4nskHr0HC7QvjIVOiU+5HCdZE20uETkkQTzBJxff1nuc+sjDpPOLkcHe1fiN70eYTERERL4IFSlFRERkRIm98Txu7RYyEx2yE0O6KGMp4tOviz6YiByyuuO+zN7JRwDgZHKFyjDZTQ9gbRBlNBERETlIKlKKiIjIyJHuIvHEfbkuykX9dFFOuxYTr4g2l4gcHsdh3SV/0HtYttbH6QzppmzfhN/wepTJRERE5CCpSCkiIiIjRvy5x3BaGklPc/DGhNwGxUcRn3Jl9MFE5LA1zT4eb8GpABgfUh+Gd1NmNj2IDcLHREREpHBUpBQREZERwextIvHsz7Gm/7UoEzNuwMRKI04mIgMlfd03sSb3LU7peh+3Lf/RbttVi1f3QtTRRERE5HOoSCkiIiIjQvzXD2K6u+ie5eCPyr8FMslxxCZfUoBkIjJQ7OQZeGcvAcAEkFrRz9qUW36G9dNRRhMREZHPoSKliIiIDHumbhvxV57COtC+IB46Jz7zFoyTiDiZiAy0zFW3YZMlAJRsDog1h3RTpvfg7Xwm6mgiIiLyGVSkFBERkWEv+diPMEFA15EuQbnJGzdlU4lNOK8AyURkoNlRNWQW3wCAsZBa3s/alFsfxXodUUYTERGRz6AipYiIiAxrzieriH2wFBuDjuP6WYty1tcwjhtxMhEZLNnF1xFUVQOQ3B4Qb8jvpiTbSnbbExEnExERkf6oSCkiIiLDl7UkH70bgM75LkFpfhelUzEHd+zpUScTkcFUUkbm6m8AYIDyZf2sTbn9CWymJcJgIiIi0h8VKUVERGTYcn//Ou6G1QQJ6DgmvIsyPus2jNEtkchw4521GH/yDAAS9QGJWj9/kt9FZuuj0QYTERGRULojFxERkeHJy5J87IdArkBpEyFdlKOOxa0+IepkIhIFxyVz/V29h/11U3o7nyHo3h1VKhEREemHipQiIiIyLMVfeRqnfid+Se5R7zCJ2V/HmPzipYgMD/5xJ+MdtQiAeKMluSWkmzLIkt38cLTBREREJI+KlCIiIjL8dHWQ+PVPAOg4PgaxMUM3DAAAIABJREFU/EKkW3MybtVRUScTkSgZ07ebcoUHgc2b5tW9SNCxPcpkIiIi8ikqUoqIiMiwk/jNzzFte/HLDV1HhHdRxmfdGnEqESmEYMaRZE+7AIDYXkvJppBuSgIymx+KNpiIiIj0oSKliIiIDCumqYH4c78AoP34GLghXZTjv4xbMSvqaCJSIJlr78DG40BPN6Wf303pN7yObd8YdTQRERHpoSKliIiIDCuJJ+7HZDN4owzds0NudYxDYuZXow8mIgVja8aTveBaANwOKP04rJsSgm0/jTKWiIiIHEBFShERERk2nO2biL3xHADtC2IQsilObOJFOGWTo44mIgWWufQmbKoSgPJVHiab301JyzIS3RsiTiYiIiKgIqWIiIgMI4lH78ZYS3aMIT09ZC1KJ058xk3RBxORwktVkLki10XtdEPZmvBuysq9T2FtSAFTREREBpWKlCIiIjIsxNcuI7bqPQDaF8ZC58QmX45TMjbKWCIyhGTPvYJg7EQAylZ7mHR+MTKR2QzNH0QdTUREZMRTkVJERESKnw1I/fJeADITHDKTQroo3TIS06+LOJiIDCnxBJlr7wDAyUJqlRc6Ldj2MNYGUSYTEREZ8VSkFBERkaI3+qP3iG3fiAXaF4V3UcanXY1JVEUbTESGHO9L5+DPnAdA2TofpzPk0e7OLfj1r0WcTEREZGRTkVJERESKWzbDpFeeBCA91SE7NuT2Jl5FfOrVEQcTkSHJcchc/00AjA+pleHdlJnND2KD8DEREREZeCpSioiISFEr/d2vSbQ2YQ109LMWZWL6dZhYWcTJRGSo8ucvxFtwKgCl633ctvxHu21XHV7d81FHExERGbHC7+RFREREIrS0Ln1IHxfvaOXsZx8BoHumgzc6/+evJjmG2OTLDiufiAw/6eu+ibvyXYwNSC33aD0rkTcnu/lnxCacj3GTBUgoIiIysqiTUkREhrV9Gx/sf/ULGUcG2OxXfk68uwPrQMeCftainHEzxs0vPojIyGYnz8A76xIASjYHxJpCuikzjXg7n446moiIyIikIqWIiAxb1lqMyX2py257nMymh/Bqnyfo3FHgZDIQSpt2Mf3tpwDoOsLFrwjpoiydTGziBVFHE5Eikbn669hECQYoX97P2pRbHsV6HdEGExERGYFUpBQRkWHLGANAtu4lgvYtmFgKm23Fq38Vr/H3BU4nh+vI5+/H8T2sCx3H9bMW5ayvYhytbiMi4eyoGrKLrwcgsSMg3pDfTYnXRnbbLyNOJiIiMvKoSCkiIsNS7+Pdfjd47cQnXUR82tXExp2BSY4j2LuW7M5nCbp3FzipHIrKHZ8waeWrAHTOcwnKTN4cp3w27rizIk4mIsUms/h6gsrRuW7KZdnQOdntT2AzLdEGExERGWFUpBQRkWFp32Pe3s5nCdq3ELRvBsApm0Js3Ok4VfOx3fUEbRsKGVMOhbXM+82PAAji0HFsP2tRzrq19zoQEelXaRmZq24DIFFvSewMWbvY7yaz9dFoc4mIiIwwunMXEZFhaV8npSkZA45L0L4Jv+UjrJ/GxFLEak4kNuFc3DEnFzipfFFj171LzeYPAeg8OoZNhnRRVh2FW3NS1NFEpEh5Zy0hmDgVgPJl4WtTejueIehuiDKWiIjIiKIipYiIDCv7ipOQK1zFxp1FYtatmNJJ+Hvexm9Zhc00A+CkpqvTrsgY32fub+8FwC+BzqPc0HmJ2d/oXZNURORzxWKkv3InAPEmS3JLSDelzZLd/HC0uUREREYQfWcmIiLDhrUBxjhYvxtv18uk1/+IzNZf4O9dQ2LGDThVR+E3vo9X/6rWFitSkz94noqGbQB0HhvDxvMLkXtTi3BHHRN1NBEpcv6iM8jOORro2ek7sHlzvLqXCDq2Rx1NRERkRFCRUkREho19XZGZTQ9iu+pwUtNxkmPxG98ns+VRYmNPJzb+HLAWkxhV4LTyRbmZbo548SEA/BR0zg3voqwde0uUsURkuDCGjmvuACDWainZGNJNSUBm84PR5hIRERkhVKQUEZFhJejeDX438SmXE590Ie64M4hNWoLNNOG3foJbNY/Y1CsLHVMOwYylv6SkrQmA9uNj4OZ3UTZXnE5X6eyoo4nIMOHNmk/z/BMAKF/pgZ/fTek3LMVvWx91NBERkWFPRUoRERlWTLwKjMFvXZs7duK4FbMw8QqCto37ZhUuoBySRFszs157DACv0tA9O7+L0mKoHXtT1NFEZJipPedqrOPidkDZx2HdlJDd+EC0oUREREYAFSlFRKRoBenGPsfWBuC4OKmZ+M0fEnTuwPrp3KCThCD3e22oUnzmvPwwsUwXAO0LY+Dk/xvurvgy6eSUqKOJyDCTqR5H99lLAEit8jDZkG7Kpg/wmz+MOpqIiMiwpiKliIgUpSC9B6/uBazX0XvOGAdjXGKTLsI4CTKbfkJ2y89Jr7+HoG0DsfFfLlxgOWSphm1Mfe9ZALLVhvSM/C5Knxg7Rn8l6mgiMkx1LrkJW5rC6YayNeHdlJmN92NtfgFTREREDo2KlCIiUpSMieNWn4iJpbCZFoKOrfvHnDiJ2bcRn3IlTuURxGpOJjH769osp0gd+dz9OEEAQPuiWOicrfEzycTHRhlLRIYxWzGKzJLc8hFlqz1Md34xMmhdi9/4XtTRREREhq3wO30REZEhziSqcBNVAHgNr2OzrbhVzThV8zFuEgB31NGFjCgDYPSWj5iw5i0AMuMNmckhXZQmyfrERVQdcG5pXTqihCIyXGUvvIb4y0/iNO8h9ZFH+4nx/DmbHsCtOQlj1PshIiJyuPTVVEREip5bfSImXoXfsgp/9xsEXbt6x6wNCphMDou1zH32x7nfAu2L8gsEAHWjLiXjVEQYTERGhGQJmWtuB6BsnY/TGdJN2b4Zv/61qJOJiIgMSypSiohI0XPKJhGbtBinYg5BZy3+nnfw967BWl/dLUVswkdvMHpbbpf2zBSH7Lj8f0vPraCu6rKoo4nICOGdfiH+lFkYH1IrvdA5mc0PYoPwMRERETl4+s5NRESKxoEbFBzYIWltgHFixMaeSmzcmWB9vIY3sQesUynFxXhZjnzuXqCni3Jh+Ao1u2quxndTESYTkRHFcclc/00AStf7uK353fm2qw6v7vmok4mIiAw7KlKKiMiQ11uc9Np6z2U3PtC7WY4xTu8cp3wGsUkX41YvwCmfFXlWGRjT3v0NqcY6ALpnOnjV+bcsmVg1u0cviTqaiIww/rFfwjv6BIyF1Irwjsns5p9ifa2FKyIicjhUpBQRkSHPGAOAV/cC6TX/l+z2XxF0bMFJTc+bA2BiKWI1J0WeUwZGrKudOS//FADrQEc/XZR1Y27AOskoo4nISGQMmevvAqBkc0CsKaSbMtNEdsdTUScTEREZVlSkFBGRomADn9jkS3HKZ+LteQdn1LH7x2yQ+5Vp0UY5w8CsVx8l0dkKQNcRLn5F/u1Kd3wijaPOizqaiIxQwfQjyJ52AQYoX95PN+XWX2C9jmiDiYiIDCMqUoqISFEwjotxS/CbV+BWzsN2N5Befw9Beg/GOBjj4O15l6BtY6GjymEoaWlgxptPAmBj0HFcP12UY28CEz4mIjIYMtfcjo3HSewIiDeE/EDMayO77fHog4mIiAwTKlKKiMiQt2+9SZttw61eRGL2bcSnfwUnWUN24/149a/iNy3H2/U7nNIJhQ0rh+XI5x/A9bIAdM5zCcpM3pzO5EyaK8+IOpqIjHB2zASyF1yT66Zclg2dk93+JDbTHG0wERGRYUJFShERGfKMMQTdu/GbVxKbtDh3LjmG2MSLcMefg7f7bfym5SRmXI+JVxQ4rRyqyp0bmLTidwAECeg4JrxTsnbcLWB0CyMi0ctcejM2VUGi3pLY6edP8LvJbHk0+mAiIiLDgO7wRUSkKATtmwha1+HVPkfQsS33iHe8gljNiSSP/i7xmTfhVi8qdEw5VNYy97c/wvR0zXYcHcMm87so20qPojV1QtTpRERyUhVkLv8aAOXLwtem9Hb+hqCrPspUIiIiw4KKlCIiUhTc6oW4Y04B6+PVv4bX+EHvY+DGGIxbUuCEcjjGfPJ7xmxYAYBfAp3z3dB5teO+Bia/eCkiEpXseVcQjJ1IvMmS3BLSTWmzZLf8NPJcIiIixU5FShERGZL27dJtvXas14FxErijjsEdczImVobf8Bpe3fME3Q0FTiqHLfCZ9+yPew87jo9BPL8Qubf8RDrK5keZTEQkXzxB5to7gJ6dvgObN8Wre4mgY1vUyURERIqaipQiIjIkGeOAzWJrf43f+D5B924AnLIpxCachw08grYN2M7aAieVwxVb+hwV9VsA8MoNXUf000U59pYIU4mI9M/70jn4M+cSa7WUbAzppiQgs+nByHOJiIgUMxUpRURk6DJxKJuO3/oxfsPr+G0bsF4XJjEKt3oBbvUJuNULCp1SDke6i8QT9/UediyIgZvfRdlUeRZdJTOjTCYi0j/HIXP9XQCUr/TAz++m9He/gd/6SdTJREREipaKlCIiMqT0Pubd8+qMOYP4tGuxQRa//jX8pvfxm5YRtHyEU3lEIaPKAIg/9xhOSyMA2VGG7ln5tyYWl7qxN0UdTUTkM/nzF+ItOBW3A8o+DuumhOymB6INJSIiUsRUpBQRkSHB+hmsDTDGIUg3YetfpLL5cYKGVyDbRmLGDTiVcwlaP8Hb8w5u9Yk4yTGFji2HwextIvHsz3uPOxbGQjfF2TPqAtKJiVFGExE5KJmv3Ik1DqkPPUw2pJuyaRl+88oCJBMRESk+KlKKiEjBeXveIbv9l9hMMwDZjfeD14oXGwvpBrz63+HteZfYuDOIT7+OxOw7iI0/q8Cp5XAlnnwA090FQGasIT0tfy3KwCTYNea6qKOJiByUYMpMvLMW46ShbHV4N2Vm4/1Ym1/AFBERkb5UpBQRkYJzUjOw6UayWx/Fa3wfk6zBTLyMzoqzMRMWY8qm4e9+m6BrFyZeiXEThY4sh8nUbiX22jMAWKB9YSx0XkP1pWTjNREmExH5YjJXfR2bKKFsjYfpzi9GBq3r8Pe8U4BkIiIixUVFShERKTindALJud/GSc3Eq3sBv3UdtK4G62PilcQnng9ukqB1XaGjygBJ/uKHmCC37mhmkkN2Yn4XpeekqK+5OupoIiJfiB09huzi63CykPrIC52T2fST3rWWRUREJJyKlCIiUjBB1y4ArM09IhefvJjEzFtwyqZgW5YTz9Zis20AGCeO9bsLllUGjrNuJbHlbwKf00VZcyW+WxFhMhGRQ5NZfANB5WjK1vk4HfndlLZjC379q9EHExERKSIqUoqISEEEHdvx6l/F+hmM2d9F56SmkzjiLkjUkGr7HXbbT8lsfADrdxGbcH4BE8uACAKSj/xn72F6uoM3Jv92JOtW0VB9WZTJREQOXWkZmStvw/iQWtlfN+VD2CAbcTAREZHiEd66ICIiMshMoorY2NMxbiLXUel34ZTPzI05MZzJV9HZNYpU8CE23Uh89tcxjr5sFbvYe6/gbs49tm9N/12Uu8ZcT+CURhlNRCTP0rr0Qc81c8/njDGPkdqwg85jXPzKvj+Asd11eLXPE59y6UDHFBERGRbUSSkiIgVh4pU4qanYwMdrWIq3+y38puV9HunOJOdgZt6OO/7LOMnqAqaVAZHNkHjsR72HXXNc/Kr8W5F0fBx7Rl8YZTIRkcNm3RgfL74dYyG1IrybMrvlZ1q6REREpB8qUoqISEEZxyU27gxMYhR+y0d4DW/0rlUJYGLlxGpOKGBCGSjxl3+Fs6dnHdIYdCwI76KsG3Mj1sSjjCYiMiAajjqVpulHU7I5INaUv1GOzTSR3fF0AZKJiIgMfSpSiohIwVgbYK3FKZ1IbNJinMojsV11+Hvexvbs7i3DREcbiace6j3snO8SlJm8aV3JaTRVnR1lMhmmNrV6/GBFa6FjyEhjDB9fcgcGKF/WTzfl1kex2fZoc4mIiBSBoilSGmOOMsY8aYxpMca0G2OeMcbMHYT3Oc4Y02qM+f5BzL3VGLPCGNNtjNlpjPlbY0xioDOJiAwn9oDCozEOxhisDTDGITbmZGLjzwYbYJvew/UaC5hUBlLiqYcwHbmd2oMkdBwT3kW5c+zX4ICNlEREik3L9KOoO/ZMEjsD4vX53ZR47WS3PR59MBERkSGuKIqUxpiFwDvAlYABdgFLgLeMMXMG8H0mAE8DFQcx92+AB4DjgXogCfwl8NhA5RERGY727eSd2fgAQVd9zzkHay0ATmoasUmXYEafhB8fV7CcMnBM/U7iLz7Re9xxbAybyO+ibCs7mtbyE6OMJiIyKD656OtYx6V8Wfhu3tkdv8JmmiNOJSIiMrQN+W1SjTElwK/IFQ4fAW631nYaYy7tOf9D4NwBeJ/ZwFPAtIOYuxj4n4AH3Gyt/YUxJg7cB9xijLnVWvuTw80kIjJcBZ212HQjYLHWYozBmFzRytoAEyvFVB0DrdsLG1QGRPIX92D83GOPfsrQOS+8U3LnuFvB5BcvZXhYvzfLM1u7ackETCxz+cqsUmpKXFY3ZXluRzetmYApKZfrZpdRlXD4wYpWjqyKs6Yly8KaOLu7A7a1+3x9boq1zVl2dPhkAktdp8+RVXGumllKifv518/6Vp+X6tpoyQQcWx3n8umlxBxddzKwOsdMZtvJS5jx9lMkdvhkpnzq/3t+N5ktj5A88luFCSgiIjIEDfkiJXAXucLhBuBWa20GwFr7jDHmIeA2Y8zZ1trXDvUNjDHnAb8Ayvn/2bvv8Diqu3349zlTdldlJVndVZZ7r2BjOknggRBCAmkQIJBGwpvnBylPIIQEQgKBJIQQIARIoXcIJQmhmJoAAYOxwbhXWXJT10q7szNz3j9U7PWObNnWzhbdn+vimsw5s6tb8Vya1VenAP8FcPh+XnJt71Ep9XBPnrgQ4tsAPg3gSgAsUhIReXCjOwEhIAtrIYzCvuJkLyGyYpA/DZBctQz6O6/2nXfM0QGPQlJz4RHoDA36Ki6UQR5Z34WjqwKYWWpg8dYonq+L4bSaIB5c14nPjA1hfFjHU5u68FJ9DKfXhAAAUUfh+OEBPL0pirPH5yHqxLC6tXtk2upWG2fWhjC6QMPD67rwfF0UnxoT2meGljhw/9YoPlObj7GFGu5f24lXG2I4YUQw5d8/DT3rPnY2Rr77Agre60LT3kVKAPbWf8AY9VnIUGUa0iV6rSE2qO93dHVgUN+PiIiGhmz4TfDzPcdbewuUe7ij53jqIX6NKwDEAZwI4J/7ulAIMRHdU7wdAL/fs08p1Y7u0Z41Qohph5iJiCgnOTteReyjG+E0L4OKd69RqLhBTm5yXQQeuKXvNF4iEK31+OghJOrLv+xjMEoHQwC2UghoAqfXhPD5cSEEpMAPZxdixjADjTEXrgJ2de3+eTC3zEBlSEOBITBtmIGSgITTs8TfmAINc8tMlAU1HFsdwEfN3tNq97SyQ6I6T2J+uYnSoIYFFSZWtnhvbkJ0qKyCYqw77vMwmhQCGzyecyqO+IZ7/Q9GRESUoTK6SCm6h9fM6Tl9zuOSJeiecn3kIX6pxwFMG+BozLk9x/eUUjs9+t/qOR5qJiKinGSMPgPm2LMBCNhbnwbQvU5l707flDv0N16AtmFV33nHPN1zOrdefRJigZF+RqM0+ML4PKxvc3Dte23440cRbI10F22e3RLFNe+14V9bonAVsOdPgd5p2LrHbOwic/fH2LAp0BHf/8+PDkegodPFVUtacdWSVvx9c/f0c6JU2XjkZxANl6FgqQ24yfeove1FuJFNaUhGRESUeTJ9uvcwAEF0j3JcuXenUiomhNgKoOZQvohS6qYDuHxEz3F5P/3reo41Bx2IiCgHubEmyMAwAIBWMhMibwTimx5CdNnPYNR8EVp4YpoT0qCKRWE+esfu0yoJa4THWpQyAGPsl4EmH7OR7yxHwXKAr07Oh+MqPL81hsc3dOGoqgA2tDu4dHYYAU3gze0xLG/a/4hIAGjeo7jYYikUmvv/23uhrjApqOFTYwsAAK5SiLNGSSnkmkGsPvFczHz0BgTXOohO3PvXLxfW+rsRnHFFWvIRERFlkkwvUub1HHeo/ucCNgOYJYQwlFID+1Q7OJnq95EHAEbt742i0eigBMoUlmUlHIn6w3tl6FAt7wPBKohgJZwProUcdyFEqPdvPfnA6Avg7nwZ0dV3QI7+EkR4at9reZ9kt9Df74ds6p5woNAzitKDGH4aLJV/SP/Oth1POFLmiTkKf13ZiU+PCaC2UMJ1bNiOi04rDtd10NYVw/YuFy/UWSgNSFiWBdd1EY93/5u6rgvLsuDYDmytu6q4qS2Otxo6MTpf4uWtMUwq1BLuo3jc6Xsd0H1/TM538eguGw3tMZQGBN7YYWNzxMGFk/e9liVlj2j00Ebk7/3ssaxD/7myYfoxGPP6Eyh4fwOi47SkdXmdnf9G185lEIXp+2PdYHyfezrUf4dswM8pNBC8T2igcvVeCQYPbN3vTC9S9j7BO/dxTVfPdXkAWlOeaP+ZunqOBft7o/r6ejhO7q3Dtn379nRHoCzBeyXHKQd5HR8gEPsblNBgG2PQscsF1EYAco9pv+Og5RfBaS0EWpN38+Z9kn309hZM/edDfeexGgm7LHmUmyPzsUMdBrVlC3a2HPoKNM1Nzfu/iNLmY8UCz2200GYDxbrCCWUOKhyFkKPj10tjKDMVJoUU3m+VaNjWhljMQHNTBAAQi+nYuaMDkYgGrWd/j1GGwBt1MfwtJjA2z8UM3cHOHbu/XnOX6HtdryIDOKGoC0+utdBiC1QHFD5eZmPnjnY//6+gFNoySNP3e589g/GzCQBeX3gGPvm3XyNvpYPOacm/gnWtvh2N5f/ruSSGHwbr++w1WP8O2YCfU2ggeJ/QQOXSvaJpGmpraw/oNZlepOwdati1j2t6VzsPwZ8i5f4y7Zlnn4YPHz4ogTKFZVnYvn07KisrYZpmuuNQBuO9MjQo5UKIGrh1j0C1rYDI01FcFYYwirr7XRuINgDmMAg9efA575PsVXD3o9Di3ZUkJXt29Pagj/4CRg7vHjm02Tz4UTy2HUdzUzNKhpVA142Dfh9KrXIAR45Nbr+wKvH80z3Hy/Zonzum+3hORfdxcYMFJ6bw2Zr+dxAu3+N1wO77ZO7IYhxew/skV42qPLR/272fPYfys2lPdkUFYhteR/7yN9E1UYMyEouRgdhajCzYBjHs8EH5egdqsL7PXof675AN+DmFBoL3CQ0U75VumV6kbOk5lu/jmnDP0a/vZX+ZBpznQIe9ZgvTNHP2e6PBxXsl9ymrGdG2D2COORMqshnO5r9Ar/o49NL5UK4Na+tiGNUnQgZL+30P3ifZRW5ei8B/du911zVBgxNOHqEjgpUI1ZwOIbs/hJnmoY8e0nVjSH+oG0p0zYWmuwf17837JLcFg/0Xrg9E77NnMH429bLPugjmj95G3gc2InOSi3hq870IVh0JIT3W702xwfw+gcH7d8gG/JxCA8H7hAZqqN8rGV2kVEpZQogdAKqEEAGlVMzjssqeY8SnWL1zEWv66fc7DxFRRlJKAXohzPEXQAtPggpPgcgbAWf7K3B2vQVhhAE7AlngMbSKspNSMB+4FaJnl3ZXByKzvD9qmLXn9RUoiQ7Ux0cO3Q/vlL1U1SjEP/YZ5C9+FF2TdLh5iYVB1bkZdsNzMEacnKaERERE6TW4i4+kxhJ0rwM5Z+8OIcQYAFUAIkopvxaierfnOLef/oU9xzofshARZRzVU6CC0wUou68IKYwCaMPmwRh7NmTeSMj8UTAnfDONSWmwaUvfgL7i3b7zzmk63FDy6BxZUAut8jgfkxERZQbr9POAQBj5S23P/viGu6Hsfa10RURElLuyoUj5fM/xbI++/+k5vuvRlxJKqe0AlgGYJISYt49MS/zKRESUKbrXoRRwOzbCWv9XWKtuBuzdA8uFNCBDVTBGfRp65XEQen4a09Kgsm0EHvxD36kTBDqneU9ZNMZdACGy4SMIEdEgyy+E9ZmvILTWgdaSvLmMspoR3/J4GoIRERGlXzb8hnA/gDiArwshZvc2CiGKAPyw5/RJnzPd1XO8UQjRN1dNCHEaukdS2gD+7nMmIqK06y08WRvugRaeAmPsOYCWD6d1JZzm5VBx7qCbq4yXnoLctnt39sgsPWljCACQJbOhDfP6Gx8R0dAQP/40qKrRKFzSz2jKzY9AWX5NEiMiIsocGV+k7Bm5eD2AAIDFQohLhRDfAPAfAGMBbAdwR+/1QogLhRBLhRB3pjDWHwGsAnAUgJeFEOcLIa4G8GBP/509uYmIhhynfT2EUQSt4hgIsxjWqptgb3sB8fp/wGlble54lAqRdphP/LXv1A4LdE30HkVpjrsAQgzuBg1ERFlF1xH74rdg1rkwtiWPpoQThbXhPv9zERERpVlGb5yzhysBVAD4OoBr92hvAfBZpVTbHm1VAGZh9y7cg04pFRFCnA7gMQBH9PzX62UA30vV1yYiynQyVAkoB7EV10MGyyELxsIYfQbidU/BbVsFVTIbQmbL44cGwnzqHojI7kdxx1wdkMmFSK3iWGjhiX5GIyLKSM6shXCmzUfhO0vQdGryTth2/T9gjPw0ZP6oNKQjIiJKj4wfSQkASilbKfUNAJ8AcB+A59BdrJymlPrPXtdeqZQSSqnjDvJr9b7+yv1ctxLAPADfB/APAE8AOB/Ax5VSnQfztYmIso3TujLhXCkX0PJgjD4TesWR0EoPgz78FACAG9kCYRSxQJljxPY6GM/vXj/NqhSIjfEYRSk0mLXn+ZiMiCiDCQHrrG9DbxIIbHCS+5ULa91f/M9FRESURln1m6JS6gUAL6Q7Ry+lVBTAb3r+IyIaUtzIJjjNSyHDE/vWouw75o+CzB8FZUdg1/82jV+IAAAgAElEQVQTbsd6QAvBGHlqOiNnndcaYoP6fkdXJ4/WOVSBB2+DcLrXVVMA2ucbntfpI06FzBs+6F+fiChbuSNrYR/3SRS8/QxioyWgJY5Ad3b9B07LB9CKp6cpIRERkb+yYiQlERFlHhGogDH8ZAgh4bSthtP0Xl+fUr1rbAnI8EToI06FWXtueoJSymgfvgP93df7zqNjJewyj48Wej7MsWf7mIyIKDtYn70Amh1C3kqP0ZQArLV3QinlcyoiIqL0YJGSiIgOitBDEGYRlBuH274GTvN7iDe8ABVv3z2iUs+DVjwdWtFkCKMwzYlpUDk2zPtu7jtVEuiY6z2K0qz5EoQR9isZEVHWUOESWKd9GfnLbQgruRjptq2Es/N1j1cSERHlHhYpiYjogLhdDX2jOpRSENKAXn4kZHgKVHQ74vX/hNO+pu/63aMqKZcYLz0NbevGvvPOKRrcguTNckSwEvqI03xMRkSUXeKfOAMorEL+Mtuz31r3Fyg37nMqIiIi/7FISUREA6bi7bDrn4W99Rm4sUYI0V2UEmYxtLKF0ErnQ0gTzs43YW9/Gcqx+kZVUg7paIX5+J/7Tt0AEJnpvcy1Oe58CM30KxkRUfYxA4h94ULkrXQgO5JHU6quetj1/0xDMCIiIn/xN0ciIho4aUCGJ0M5XbAbnoPT8kFflxACWngStIqjIPNHwW1fCxXbkcawlCrmE3+FiLT3nXfM0qHM5FGUMjwJWsWxfkYjIspKzmHHwh03AwXveY+YtDbcB2VHfE5FRETkLxYpiYhowIQWhF5+BPTS+RBaCPa2xbC3vwoV312wkoEyaOWLoFefBJk3Mo1pKRVk3XoYi5/sO7fDAl2TNM9rzfFf7xttS0RE+yAEYmddhOB6F3qTxzIp8VbENz7ofy4iIiIfsUhJREQD1ru+pNO8DG50B5QdgdO6omcdynV91wlpQuaPSldMShWlYN53M4S7+xfojrk6IJMLkVr5ImjF0/1MR0SU1dyxk2EffTIK3vFemzK+5Qm4Xdt8TkVEROQf7wWkiIiIPAgh4XZshNOyHIHJFwNasHtn75YPYW97ESq2C1rJHK5BmKO09/4NfcW7fedWhUBsTPIoSgUNy8LnINYQ8zMeERFeO8SfO5YVx84Wic1mHKbHMhapZp35NeT98BWYdXFYI/f6+apsWOv+hOD0y33PRURE5AeOpCQiogMjJCBNKKsJQhrQiqZCL1sAFd0GZ8drcNtXpzshpYIVQ+D+W/tOFYD2wwzPS3eWnIyYOdynYEREuUMVl8L69LkoXGIDbvImOs6O1+C0fJiGZERERKnHIiURER0QESiHDFXBaf0IbmwXAEDmj4YMT4Esns4pvjnKeO5RyJ31feexGgm7LPljhC3z0VD2BT+jERHllPiJZ0AGRyK02vHst9be3rf8ChERUS5hkZKIiA6I0EPQSg+D27oCdsPziDc8B3vbYritH0IbNjfd8SgFRPMumE/d03euJNA+z3sU5bayM+HoYb+iERHlHt1A7KyLUPC+DWElj6Z021bB2f6y/7mIiIhSjEVKIiI6YFrRVBi150FIE6qzHm7nVugjPgUZrEh3NEoB89E7IGLRvvPOKRrcguS12mJGBXaWnOpnNCKinOTMWgh30kLkL/PeRMda92coJ+rZR0RElK1YpCQiogOmlAsZKIUx+gwYNWfBrD0Heum8dMeiFJDrPoLx+r/6zt0AEJnpve9effk5UJKbJhERDYbYWRchtFpAtidP7VaxXYhveSINqYiIiFKHRUoiIkqglLPH/06eZgZ07/Ldtx6W9J72SznAdRG476aEpo45OpTHjreR4AQ0h4/2KxkRUc5TVaNgf+LM7k10PMQ3PgQ31uhzKiIiotRhkZKIiBLYDc/BaV0JABBC9Ls4vxCy7xrKTfobL0Bb91HfebxEoGuC5nltXeX5AO8FIqJBZZ12DoyWMIwdHs9iN4r4+rv9D0VERJQiLFISEVEfN7oTymqF0/g27B2vQjmxvmJkf6MqKUd1dsB86A99pwpA+2E6IJMLkc2FixDJm+ZjOCKiISKUj/jnvonCt+Oe3XbDc3Da1/scioiIKDVYpCQioj4yWA69+uOQBWPgdtbDrv8n3K5tAPY9qpJyj/m3uyBbm/vOY6Mk4tXJoyhdYWBrxVd8TEZENLTYR54EGZ6M4DrHo1fBWns7/5BIREQ5gUVKIiLqo5QDGSiDCJQDTifsXW/C3voP2I1vQymXoyqHCFm3Hsbzj/WdKwl0zPfeLGfHsE/DMiv9ikZENPRIidiXv4OC9+KAnfz8dZuXwml8Kw3BiIiIBheLlERE1EcIDcqOIL75EcjCiTBGngYRLIPb8iHs+mehrJae67j2YM5SCuY9N0G4u0fNdk7R4ISTPzJYegm2lZ3pZzoioiHJHTcV7uyTkL/CazQlYK25Hcr1nhJORESULVikJCKiBG5kE4Qehla+CHr5IuhVH4MsrIXTtATWpkfgtK1Jd0RKIf2txdBXLu07d4JAZKb3KMr68nPhypBf0YiIhjTr899AaI0O2Zk8mlJ11cOuezINqYiIiAYPi5RERJRAhqoBZcNpehfKtSD0fOgVx0CGqiH0EGSwIt0RKVWinTAf+ENCU2SODmUmj5yNBMejqeg4n4IREZEqLoV9yrkoeM/27LfW3wc31uRzKiIiosHDIiUR0RCXtL6kHoYsmgqn8b9wW1bA7WqAcqJQThRa8QwIsyg9QSnlzCfvgWzZ1XceHybQNSF5sxwAqKv8GiD4MYKIyE/xkz4HM1INvdFjIzu3C/H1f/U9ExER0WDhbxdERENY92Y43aPk3MgmOG2roaLbYYw4BVp4EuwdryC+8QFYq26B0ILQSmalOTGliqjfBONfD/edKwDthxmAx/qjWsWxiORN8TEdEREBAHQD1pcvRuF/vdeftBueg9O2yudQREREg8N7kSkiIhoiugtQ8bqn4bavgXJtCLMEQs+DOfZsyOKZUFYLhDQgQsPTnJVSRikE7r0Jwtm9IUNsjES8yuNvmTIAc/xXgWYf8xERUR9n+nzoY45FcP2/Ea1NHu1urf4DgvNugOBodyIiyjJ8chERDWFCCLixRjgty2HUnI3A1B8AKg4oB25nHZTVDC08AbKgBkIz0x2XUkR751XoHy7pO1cSaJ/n/XdMY/SZXJeUiCjNrLO+jfzlGhBP3kTHbVsJe9viNKQiIiI6NCxSEhERIDQIzYTqrIOK7oRe/Qk4ze/DbVud7mSUarEoAvffktDUOU2DW5j8EUEEymCM+ZxfyYiIqB9qWAWcE89D/gfem+jE194JZXf6nIqIiOjQsEhJRDTECbMEMlSF+NZ/wlr3Z+jVJ/bs8O1AxVvTHY9SzHz6XsimHX3nTh7QMcN7FKU57nwILehXNCIi2of4SWci1Dgcsj15Ex0Vb0F804NpSEVERHTwWKQkIhqi3OiO7vUmhYQ2bB5UbBeEEQag4DQvg9O4BFrp/HTHpBQS2+pg/POhhLb2+QZgJG+WI8OToVUe71c0IiLaH92AdfbFKHynn9GUmx6D21nvcygiIqKDxyIlEdEQYje+Aze2C8qJwlp1M5TdAQDQiqfDGHkaZEEt3PY1cFo/gt6zwzflKKUQuPu3EPbuHWKtKonY2ORNGADAnHAhN2EgIsowzrR5kNXHwGxwvHphrfmj75mIiIgOFnf3JiIaApRS3ZvktK9FfNMjEIFhkOFJkHkjoZQDIbTuzXHyR0MI2b3Lt+QjIpfpby5O3CxHAG0LvP/N9eoToRVN9isaEREdgPgXL0LBtW+iqVIBMnEkvNP4FuzGJdBL56UpHRER0cBxSAQR0RAgRPcvLWbNF6ENmw1lNUPZEah4O4TQoJQL5dpwOzZCOTEWKHNdpB3mA3ttljNFg1Ps8bFAz4c57gKfghER0YFSw8rhHv8VhFZ5jaYErFW3QLneU8KJiIgyCYuURERDiBvdCadpKczxX4OQBmIrfgWnaWn3NF7lwN76NNyODemOSSlmPvYnyNamvnMnCERm9bNZzthzIcxiv6IREdFBiJ94JkLbhkNEVVKfitbDrnsqDamIiIgODIuURERDiDCKYI47H1rheJjjzoc+/GRYmx6CtfbPsNbfBUBwWm+Ok+tXwlj8ZEJbxzwDykzeLEfk10Afcapf0YiI6GDpOuyzLkHBUu8Rk9a6u+DGGn0ORUREdGBYpCQiynFKdY+qUHYEEAKyoKavTy8/AsFpP4QIVUEbNgfm+K+lKSX5wnUQ+OsNEGr3SBurXCA63nuznMDEiyCkdx8REWUWZ8oc6CXHQm9ykztVDNZqbqJDRESZjUVKIqIc1r0pjoDTvh7Wur/AWvdX2PX/hNuxse8aYRbDGHEK9NLDIPS89IWllDNefBLaptV950oA7QsMz2u1yuOhlczwKxoREQ2C+JcuQsFS7+U7nJ2vwml+3+dEREREA8ciJRFRDuvdFCe+8V5oJTMh80fB7dgEe/tLsHf+mwvpDyGBtkaYj96Z0NY1QYNd6vFRQAtxVC0RURZSxaVQx38DwXXem+jEPrwRyo37nIqIiGhgWKQkIspxqqseQi+AXnEMtPBkQM+DCFbBaXoP8Y0PwGlfn+6I5IMpz9wGEe3sO3cDQMcc79E2Rs1ZkIFSv6IREdEgso//FPJ21UBYHpvoWA2Ib/lbGlIRERHtH4uUREQ5SO2x5iC0EFS8Dcpqhr19MbTC8dCrTgCcKODGIKR3oYpyR9nqd1C97NWEto45OlTQY7OcvJEwRp3uVzQiIhpsUkP87B8i/33v0ZTxdXfDje70ORQREdH+sUhJRJRjlHIhhIByLLhdDRBaEIHJF3cXK2PNkIUTILQAhFkMrfwoyPzR6Y5MKSTjMUx98uaEtnipQNdE7w1xzAnfgpDe61QSEVF2cEePhz76dO9NdBCH9dHNHu1ERETpxSIlEVGOEaL7R3t84/2wVt+KeN3TcGM7ASEhC8chXvckYmtuh7JaoBVNTnNaSrVxLz2I/MaGvnMlgLaFBiCSR1Fq5UdCL53nZzwiIkqR+GcuQMFHhZ59TvNbsBuX+JyIiIho31ikJCLKIUp1j5hwY7sALQij9lxAaLC3vQSn6T2IUDVkwTjI0HAYteelOS2lWsH2Tah95eGEtq5JGuwyj8e/NGGO/4ZPyYiIKOWCeXBP/R6Ca7w3yYt/cAOUa/kcioiIqH8sUhIR5Yjuad4SbqwR8XV3wW39EG77OphjPgetZDacpneh4q2Q4fEwRp4KGSxPd2RKJdfF9MdvhHR2/3LqhPaxWc6YL0CGKv1KR0REPnDmLELIng8RS95Ex3UaEd/wsMeriIiI0oNFSiKiHNE7zdttXgaRPwr68FOgOrfA2vgAtPAkGKPPhNu+Hi538x4SRr/1d5RsWpHQ1n6YAWV6bZYzAsaYz/kVjYiIfBT/0neRvzz5Zz8AxDc+ALdrm8+JiIiIvLFISUSUQ5y2NYjXPwtlNUMrngG9+kQIacLa+ABUVz3MCd+EXnV8umNSigVbd2LSs39OaItVS8TGem+WE5j4HQhp+hGNiIh8poZVQJt9AfRdHpvoCAfW8hv9D0VEROTBe84XERFlBXvbYmiVxwHoHkmphScgMPFbsDbeB2vDPTBGnwm9+hNwmpfC3rYYRqAMMm9EekNTaimFqX+7GXqsc3eTBNoXej/ytcrjoQ2b7Vc6IqIh67WG2KC+39HVgQFfa3/8DOT/5u9oLd2WtHGa07EU4ba30BZeMKj5iIiIDhRHUhIRZSm3YwOU0wUhZN9UbwCQBTUITr8cwgjDWnkjnLZV0EoXwKj5EguUQ0DV8tdQ+dGbCW2RGTqcsMcjX89HYAI3yyEiynlSg3vmjxBc4zGaEsDYLTdBul0+hyIiIkrEIiURUZYSeaOgV/8PgO4RlfGGFxL6zbFnwxjzecQ3PQp76zOQoap0xCQf6Z3tmPrUrQltdlggMsN7mrdZez6EWeJHNCIiSjN37CQEwidDRJM30dFkB0bV/SkNqYiIiHZjkZKIKEsJqUNIDcqxAGlARTbA2vgg3OjOvmu0klkIzrwSWtkRaUxKfpn8jzsR6GjuO1cA2hfogJa8YYIMT4I+4mQf0xERUbrZn70Q+avyPPtKO55HqGutz4mIiIh2Y5GSiCjLCc2EVno4tMrjIKSO+ObHYDe+s7tfD0GEqtOYkPwwbN1SjHrn2YS26FgJa7jXKEoJc9J3IIT3CEsiIspRwTyIj10GY5vXJjrAuPXXAcrxPxcRERFYpCQiyglCC0ArnACt4hhoRZPhNL0Ha+ODUHb35ilCJI+ko9wh4zFMf/x3CW2uCXQcZnher488DVrheD+iERFRhnFnHo48awHgJE/7NuUOVG17NA2piIiIWKQkIsoKSiX/IuFGNkNZrQn9MlgBrfRw6OVHdI+EcC1fc1J6jH/hXuQ31ie0tc/T4YaSi9PCLIVZe45f0YiIKAPZZ/4Aeau9/5BV3fggjPhOzz4iIqJU0tMdgIiI9q93JKS97SXI4umAcmGtuQ3mlO9BIHGkpNDzIIumQhaMhdDz05SY/FK0ZRVqX00c9WJVSUQnej/i15V/FS07dQAxH9IREVFGKghDm38xtPrr4RQljlsRmotxa6/HysnXA5yJQUREPuJISiKiLNA7UtKN7kBsxa9hrf0jtPIjIQOlUCp5XSkhJAuUQ4C0Lcx45NcQe9wDSgPajvAuULbmz0NL4SK/4hERUQZzD/8Y8hsne/blYTWGNb/icyIiIhrqWKQkIsoCvSMlzZovQCuaBGV3wu2sg7KaIYSEUgrKteG0roRyomlOS34Z9+L9KNyxOaGtY5YOJ5z8eHdEEFuqL+SoGCIi6iYE3DN+guAG7+fCmK23QjoRn0MREdFQxiIlEVEWcTs2wmlbjcDkSyBkALGPboDT9G53EdOOwN76DFTXtnTHJB+E69ag9pWHEtriJQKd07x37K6v+DIso8KPaERElCVUSRmM2gsgoslrXws9htq1N6YhFRERDVUsUhIRZbg9N80ReSMQmPhtyFAlzHFfgT7iVMQ3P4rYmtthrb8LIlAKWVCTtqzkD2HHMePR30C6e0zzFkDbIgOQySNiIsGJ2Flyip8RiYgoS7jHnQmxsdqzL+z8F4WtS31OREREQxWLlEREGa53qreyWrundwfK+9ah1MsWIDDtMmiF46FXHg+j9rx0RiWfjHvpQYS3bUho65yiwS5LfqwraNhUfREgvEdYEhHRECcEVhx1BYyG5NGUEMC4DddBuJb/uYiIaMhhkZKIKIP1FiOdpqWw1t6O+Ja/ASoOIXb/+BZGIfSqE6CVzEhop9xUWL8O4156IKHNKRDomO29Wc620jMQDdb4kIyIiLJVZ/lI7AieAdjJhUoZ6ETtmt+lIRUREQ01/G2WiCiDCSGh7E7EtzwGreJYmLXnQblx2I3vIN7wAjfJGWKEY2PmI7+BdJ2+NgWgbaEOGMnTvKPmCGwr+5yPCYmIKFttWHgO5KYyz74i+3UUti73OREREQ01LFISEWU4FdsFERoBrXg6VGwXrNW3wG39CG7zUjiN/013PPJR7csPI9ywLqEtWithjfCeyr2p+iIoafoRjYiIsp2UWLHgSmiNHtO+JTBu/S8hVNz/XERENGSwSElElOGEUQQV3Y7YyhsR3/oM9PKjYNaeA1k0BW5nA5Ry9v8mlPUKG9Zj/OL7EtqcENB+uOF5/c7ikxDJm+ZHNCIiyhGd5aOxS/8M4HhM+w52YOyqm9OQioiIhgoWKYmIMkzvOpS9hFmEwLTLoFedAGP4KdDKjoByLDgtyyFDlRDcECXnSdvCzIeuh3TsvjYFoO0IAyqQPM3b0kuwtYKbKBER0YHbcPh5EHWlnn3FzsvIb1vlcyIiIhoqWKQkIsogSrl9m9847evgNL8Pp+VDCM2EXrYQwiyCte5OWKt+Dxmsgl55XHoDky/GP39P0m7e0VoJa5R3gXpL1YVwtXw/ohERUa6REivm/wxai1cfMGHN1QBncRARUQp4bwVKRERp0j0qLl73FJzWlRBmCVRsJ+yd/4Y57nwIIwxj1GcBKIhgVXqjki9KNn6A2lcfSWjb1zTvpvDRaC1c6Ec0IiLKUV1lo9C44dModv8GyMQR+zKvHbUrb8H6Kf+bpnRERJSrOJKSiCiDCCHgxprgtCyHOfbLCEz4OmTeSACA6qyD07oSMm8EZN5ICMm/M+U6LdaJmQ//GkLtXhtMAWhf6D3NO64VYUvlN3xMSEREuWr9vK9A1Pc37ftF5Les9jkRERHlOhYpiYgyjNACEFo+hFEAN7IZbsdGGCNPg9O2Ck7Tu+mORz6a/Pc7kNfUkNAWHSsRG93fNO9vwdHDfkQjIqJcJyU+mnsVZJtHnwZMXH0V4NoenURERAeHRUoiokyj5UEY+bDW/QXWuj/DGHkqZKhnareKpzcb+UZ7/02M/u8/EtqcENC+oP9p3i3hI/yIRkREQ0Rn6Wg0aZ/y7BOFHZiw7Dc+JyIiolzGIiURUYYRQkAfeTqEUQRoQSirpXsDnZ1vQCvjWoNDQnsLAn+6PqGJ07yJiCgd1s/7KrDNe9p3of4fFO3gLA8iIhocLFISEWUgGSyHMep06BXHwGlbCTeyCfqIT0ILT0p3NEo1pRC867eQrU0JzZzmTUREaSEEVsz9OWSHR58GjNt4LeDEfI9FRES5h0VKIqIMJcxi6OWLEJj4bRgjT4Nedni6I5EP9DdegP72Kwlt+57mfRSneRMRUUpFi4ZjW95ZwB4bufUptDDl3av9D0VERDmHRUoiIqIMIXY2IHD3jQltCkDbon1N8/6mT+mIiGgoq5v2BTiNozz7QnnLUL75JZ8TERFRrmGRkoiIKBM4NoK3/QKiK5LQ3DVJgzWyv2neF3KaNxER+ebD+b+AbPf4FVIKjN72e2ixdv9DERFRzmCRkoiIKAOYT90Dbe0HCW12WKB9vu55ffc070V+RCMiIgIA2KFibC67EHCTp32rQgdTl/w4DamIiChXsEhJRESUZnL1chhP3pPQpgTQerQB6MnTvC29BFuqLvQrHhERUZ8dtSch1j7Zs88o3oARKx/zOREREeUKFimJiIjSKdKO4B9/DqHcxOaZOuwy78f0pur/B0cr9CMdERFRkhXzroJo89jQTQhUt98NNNb5H4qIiLIei5RERETpohQCd90AuWt7QrNVJhCZ6b0O5Y6ST6K9YI4f6YiIiDwpI4T1o34AOMnTvt0CwH7x+4DrerySiIiofyxSEhERpYn+73/BeCtxN1SlA21HG4BMnuYdNUdia8V5fsUjIiLqV/PwBYhYCzz7YmUtUP/6pc+JiIgo27FISURElAZiex0Cd9+Y1N4+X4cTTn48K2jYMPwSKBnwIx4REdF+rZr9Q6j2fM++LrwCrPq3z4mIiCibsUhJRETkNzuO4B+uhohFE5pjIyS6Jnnv5t1Q/kV0hcb7kY6IiGhgpI5Vk34GxJO7VEDAWnYtVKTV/1xERJSVWKQkIiLymfnIHdA2rEpoc4JA25EemxAA6AhNwrbSM/yIRkREdEA6i8ZjR96Znn3xUhvq6R8AKnntSiIior2xSElEROQj7d1/w3z24YQ2BaDtKANuKHkdSkcEsXH4JYDw3kiHiIgo3erGnwOrc7RnX1fZJuDVv/obiIiIspL3nDIiIiIadGLXNgTvTN5IoHOaBmuEdxGyrvKrsMzqVEcjIiI6JCtm/gKzPzgfCNqJHVIg2vIQgnWLgJGTDuq9X2uIDULCbkdXc21nIqJMxZGUREREfrDjCN56FUSkPaE5XirQMdf7b4YtBQvQWPwJP9IREREdEtcIY8OI73VPD9iLUwjYL18K7LUWMxER0Z5YpCQiIvKB+fDt0NZ9lNDmGkDrMQYgk6d5i0AZNlX/f4BI7iMiIspEzRWL0IYjPftiw7uAxy7j+pRERNQvFimJiIhSTFvyGsx/PZLQpgC0LzDghL0exRKBqf8HRw/7ko+IiGiwrJ3yPWixYs++zmErIF95wOdERESULVikJCIiSiGxswHBO69Lao/WSkTHea9DadR8CVrJzFRHIyIiGnxCg3nk9RB28kwAZQp07bwLYuNHHi8kIqKhLmuKlEKIqUKIJ4QQLUKIDiHEM0KIg1t5eRDeXwixWgih+vlv12DlIiKiLGbHEbzlKojOjsTmsED7QsPzJbJoGoyas/xIR0RElBIyPBrmmK959tmlAs6LlwJ7rdFMRESUFUVKIcQcAG8COB2AALANwCcB/EcIMd7v9xdChAGMB9AG4H2P/5YfaiYiIsp+5oO3QduwMqFNaUDrsQaU4bHWpF6AwLQfQkjvEZZERETZQp90Bgxjhmdf19gY5MOXcn1KIiJKkPFFSiFEEMDfABQCeBBAtVJqPIBPASgCcHsa3n8euouZDyilZnv8d/yhZCIiouynv/kizOcfS2pvO1yHPcz78RuYfDFksCLV0YiIiHxhHPEzSLvAs6+jai3ks3/yOREREWWyjC9SArgQwGgAawGcp5TqBACl1DMA7gFwvBDiWJ/ff17PcdkhfF0iIspRcst6BP70q6T2rnES0Ym652v04adArzgq1dGIiIh8I/QQAgt+CTge61MGBLraH4ZY9W4akhERUSbKhiLl53uOtyqlrL367ug5nurz+x/Wc+QTlYiIEkXaEfz9FRBWNKHZLhZo628dyoKxMCd80490REREvpJF4xGoucCzzy6TcF75CURrk8+piIgoE2V0kVIIIQDM6Tl9zuOSJQBsAEf6/P7zAcQAvHcwX5eIiHKU6yJ4+zWQ27cmNutAy3EGoHusQ6nlITD9xxBawKeQRERE/tLGnwkjOMuzr2u8DXHf9wA77nMqIiLKNBldpAQwDEAQQBzAyr07lVIxAFsB1Pj1/kKIYQBqATQBuFcIsVUIERVCrBdC3CyEGHmQWYiIKMsZT98LfekbCamKv/4AACAASURBVG0KQNsiA05RP+tQTrkEMm+ED+mIiIjSQwgB4/ArIZ2wZ39HbT20h6/3ORUREWUa74WxMkdez3GHUsrp55pmALOEEIZS6kD//HYw7394T3s1gBMAvACgHcBRAC4CcI4Q4iil1H53+I5Go/u7JKtYlpVwJOoP7xUaiGy7T4zl/0X+E39Jau+apCE21nu3blF9KuzwYbD7eR5YFkeVDITdM/rG5igc2gfeJzQQ2XSfRKODtzP2YD9vvLMJYPaVwPvfA2RivzIFIoFXYL4wAdZRp6U032D9/5Ztn1MoPXif0EDl6r0SDAYP6PpML1L2zovr3Mc1XT3X5QFo9eH95/a0Pwjgq70b7QghJIBrAPwQ3TuCH7G/L15fXw/H6a82mr22b9+e7giUJXiv0EBkw31iNu3ApD//EkIl/uJjlQm0H+69DqVljsEu7WPAli39vu/Olkyf8JBZmpua0x2BsgDvExqIbLhPtljuoL3XYD9v+s9moKDwdIQjTyT1OCUS7oY70SgL0TlqfMryDeb/b0B2fE6h9ON9QgOVS/eKpmmora09oNdkepGyd2hJ1z6usXuOIRx4kfKA318pdY0Q4iYAXXuOvlRKuUKIHwH4FICFQojpSqkP9vXFhw8ffoBxM5tlWdi+fTsqKythmma641AG471CA5Et94mIdqLozz+HHk38e5cTBFqPN70XVtELEJx+OUYFK/b53pvNzB/JkwlsO47mpmaUDCuBrnsXhYl4n9BAZNN9Mqpy8PIN9vNmX9nUyHOBZVvhRv6b1BcbKzFi2a2ITbsNqqg0JfkG6/+3bPmcQunF+4QGivdKt0wvUrb0HMv3cU3vwiYH870c1PsrpTq8LuwpVL4IYCqAWQD2WaQ80GGv2cI0zZz93mhw8V6hgcjo+8R1Ebztauj1mxKalQRajzPh5nlslAMgMPUH0ItH7/ftTdP79eRN140h/aGOBob3CQ1ENtwnbw/iYM/B/l6DwX1vBqfmX47oa9+A6yaPGIpMt1D0wBWwL7oNMMyefIP3PNxftgOV0Z9TKGPwPqGBGur3SkbPI1NKWQB2AKgSQvT3NKnsOUYy5P17FxAYdaB5iIgou5iP/xn6e/9Oam+fryNe6f2INcZ8AXrZglRHIyIiylhCCyCw4DoI12NUoxRoH78Vxv3XA2rw1t0kIqLMl9FFyh5L0L0m5Jy9O4QQYwBUAYgopQ72b4kDfn8hhC6E+JoQ4rJ9vN/UnmPmL2RDREQHTX/jRZhP35vU3lUr0TXFe3C/NmwejNpzUx2NiIgo48lQFcxZPwY86pBunkDEfBXa4uS1K4mIKHdlQ5Hy+Z7j2R59/9NzfNeP91dK2QB+CuAqIUT13hcLIcaie8dvAHj5EDIREVEGkxtWIvCn65La48ME2hZ5T5kTwWoEpl0KIbx3+iYiIhpq9PIFMEZ+3rMvXilhrb0N8sMlPqciIqJ0yYYi5f0A4gC+LoSY3dsohChC907aAPCkj+//JwAGgD8KIYw9rq8C8AiAAIAnlVKrDiETERFlKNHSiODvfgwRtxLa3QDQcrwJeNUgZQDBmVdAGIX+hCQiIsoSxsSvQMuf7tkXnSCh/nkF8nbW+ZyKiIjSIeOLlEqp7QCuR3fxb7EQ4lIhxDcA/AfAWADbAdzRe70Q4kIhxFIhxJ2peP+ea5egexfvtUKIx4UQTwPYAGBez+vOP5TvmYiIMpQVQ/CmH0M270poVhJoOc6EW9DPRjlTLoEsqPUjIRERUVYRQiIw96cQotizv2O2g9lPXwoj0uZzMiIi8lvGFyl7XInuQmEJgGsB/BHdaz+2APisUmrPJ1YVunfWHp+K91dKdQI4GsCP0L2ZzikAFgJ4FcC5AI45hPUxiYgoU7kuArdfC23dRwnNCkDbAh3xKu9Hqj7qs9Arj0t9PiIioiwljEIED7sWUB5rOkuB2Jw2zH70Cgg77n84IiLyjffK/hmmZy3IbwghHgbwFQDl6B7NeLNSqn6va69Ed9ExJe/fc30XuouZ1x7gt0JERFnKfPROGG+/nNTeOVVDdKL347QtbybW5n8ZaIilOB0REVF2kwVjEZhxKWIf/DypTwUFMGE9pj31W3zwmR8AwnvmAhERZbesKFL2Ukq9AOCFbH1/IiLKTvrLz8D8+/1J7bEREh3zDY9XADGjAhtHfB/gRjlEREQDolccBXf0lxDf/EBSn1MiUdj+Ksa+WoMNx3pvtkNERNktW6Z7ExERpYX2wTsI3HVDUrtdLNB6rAl4DOZwZBDrRl4OWy/yISEREVHuMMadA634MM++2GgNI3bchcoPXvc5FRER+YFFSiIion7IuvUI3vxTCNdNaHcDQPMJJpTHIEoFgQ3Dv49osMafkERERDlECInArMshzRGe/Z3TdUx6+zoUb/zQ52RERJRqLFISERF5EC2NCN5wGURXJKG9byfvQu/1sLZWnIu2Qu8RIERERLR/QgsiMO8aCJHn2d9xuMDMZ69A/o7NPicjIqJUYpGSiIhob10RBG+4FLJxe0KzAtB2pNHvTt6NRSdgx7DP+BCQiIgot8lQJQKzr+r+62BSp0DkCBtzHr0MZnuT/+GIiCglWKQkIiLaU9xC8KYroG1ak9TVMUdHtNZ7IxxZNBWbq77NHUeJiIgGiVYyA+bUSzz7lCkQPawd8+77EbRYp8/JiIgoFVikJCIi6uW6CNxxLfQV7yZ1dU7U0DlT93yZCFYgOOMnUNJ7p28iIiI6OEb1J9BQ6r2bt1sg4EzditkP/AzCsX1ORkREg41FSiIiIgBQCuYDt8B466WkrtgIifaF/RQgtTwEZ/4MwixOcUAiIqKhqaH8LDQVHOXZZ5dLmFUfYPrjvwWU8jkZERENJhYpiYiIABj/eADmc48ltceHCbQcZwJes7iFjuCMn0AW1KQ8HxER0ZAlBDaNuBiRwETP7tgYDWH9ZUz6x+0sVBIRZTEWKYmIaMjTX38WgYdvT2p38gVaPh4AvGd5w5x8MbRhs1OcjoiIiJQ0sHb0FYhpFZ79XZN1VLQ+idqXH/I5GRERDRYWKYmIaEjT3n0dgT9dn9TuBoHmE024Ie/XGWPPhVH98RSnIyIiol6OHsbamqvgIM+zPzLHwKj1d2PUm8/4nIyIiAYDi5RERDRkaR+8g+AtV0G4bkK7awDNHzfhhL136tarT4JR8yU/IhIREdEeYuZwrB3zE7j9THNoX6hj/Lu3ovr9l/0NRkREh4xFSiIiGpLk6mUI/u7HEHY8oV1JoOV4A3ap9yNSGzYX5qTvQAjvAiYRERGlViRvCjaM/D8o5fEslgKtR+uYsvhXKFv1tv/hiIjooLFISUREQ47csAqhGy6DsKIJ7UoArccaiFdr3q8rGIfA9MshZD+LVBIREZEvWgsXYHP1t707dYHW4zXMfPpqlGxY7m8wIiI6aCxSEhHRkCLrNiD06x9AdEUS2hWAtoU6YqO9C5QiNALB2b+A0PN9SElERET701hyIurLzvLsUwGBthOAOY/+GMWbVvicjIiIDgaLlERENGSI7VsR/NX3ITraEtoVgI65OqITvUdICrO0u0BpFvuQkoiIiAZqW9nnsbPkZM8+NyTQdpzCnAd/hKItq3xORkREB4pFSiIiGhLE9q0I/fISyJbGpL7ILA2dM/qZwq0XIDj7F5ChqhQnJCIiogMmBLZUfh3NhUd4drsFAh3HOZh332UIb13rczgiIjoQLFISEVHO6ytQNu1I6otM1xCZbXi/UAYQnPUzyIKa1AYkIiKigyc0bBz+XbTlzfDsdsIS7cfEMe+eH0JuXudzOCIiGigWKYmIKKeJHfX9FyinauiY10+BUugIzLgCWtHUFCckIiKiQ6WkifWjLkdHcJJnv1MiETnKQuCGSyDrNvicjoiIBoJFSiIiylliRz1C117sWaDsnKSh47B+CpSQCEz9PvTS+akNSERERIPGlSGsG/0TdAbGevbbpRKtC6Mwf3MJZN16n9MREdH+sEhJREQ5aV8Fyq7xGtoX9legBMwpl0CvPC6F6YiIiCgVHK0Aa0dfhag5wrM/XiHRtqATgV/9P8hNa3xOR0RE+9LPLgFERETZS2yrQ+i673oXKMdJtC3qv0C5qerbaMQxQEMslRGJiIhy1mtpfobaehHWjL4aEzdehoC9Pak/XiHRekQMRb++GLGLfw133JQ0pCQior1xJCUREeUUuWU9Qtd8x3uK9wQNbUeagPB+7ZbKr6Ox5KQUJyQiIqJUixulWDPmalhaqXd/hUTrkXEEfvtdyNXLfU5HREReWKQkIqKcIdev7J7i3dqc1Nc5SUP7IqPfAmVdxVewc9ipKU5IREREfrHMSqyp+TniWolnf7xCovVoB4Hf/QDaR+/5nI6IiPbGIiUREeUEufJ9hK77LkSkLakvMnXfa1DWl5+NHaWfSWU8IiIiSoOYORyra66BpQ3z7I+XS7Qc48K86YfQ3n/L53RERLQnFimJiCjracveQug3/wcR7Uzqi0zf1y7eQEPZF7Gt7POpjEdERERpFDOHY03NNbB076nfdrlEywmAeduPoL/xgs/piIioF4uURESU1bS3X0bwxsshrMRF+hWAjlkaOub1X6A0ar+ChvIvpTghERERpVvMrMbqMb+AMMs8++1SieYTNRh3/xzG84/7nI6IiAAWKYmIKIsZzz+O4C1XQTh2QrsC0HGYjsjs/guU5vivw6z5YooTEhERUaawzGoE514PESj37HeKJJpODkB78vcwH/8zoJTPCYmIhjYWKYmIKPsoBfPROxG49yaIvX6BUAJoO8pA51S935ebE74FY/QZqU5JREREGUbmDd9nodItEGg+2YR49R4E7r4RcB2fExIRDV0sUhIRUXaxbQTuvA7m0/cmdSkNaDnBQHSc1u/LzUn/C2PUp1OZkIiIiDKYDFUjOO83EKERnv1uSKD5JBNq2VMI3Ho1sNeSMkRElBosUhIRUfaIdSH4u8thvP5sUpdrAs2fMGGN7K9AKWFO/i6MEaekNiMRERFlPBmsQGjeryELaj37VUCg+UQTbsOrCF3/PaC9xeeERERDD4uURESUFURrE0K//C70ZW8l9TkhoPkkE/HKfh5rwkBg+o9gDD8xxSmJiIgoWwizBME510MWTfW+wBBoOd5ADB8h7+qLILbV+RuQiGiIYZGSiIgyntyyHqGrvgVt/UdJffFigaZPBmAP6+eRpoUQnHU19IqjUpySiIiIso0wChCcfQ1kyVzvC6RA+yIDndXbEbr6W5Crl/sbkIhoCGGRkoiIMpqx/L8I/fwiyMbtSX2x4RLNpwTg5ot+XlyE4JzroA2bneKURERElK2EFkRw1pXQyhf1e01klo72WVEEf/Vd6G+95GM6IqKhg0VKIiLKTEqh/L8vInzLlRDRrqTurvEaWj5mQhneLxeBcoTm/hpaeGKKgxIREVG2E9JEYNrl0If3v3Z1dLyG1mMA846rEPr7/YBSPiYkIsp9LFISEVHmcWzkP3ALRj73IIRyE7oUgI45OtqONPp9iom80QjOuwEyf1TqsxIREVFOEFKDOek7MGrP6/caa4SGppNNBBffg5onbgdiUR8TEhHlNj3dAYiIKPe91hAb8LVGpBWzH7gGZWuXJvUpDWg90kBsbH87eAPtedOxfuRlcJoLAAz86xIREVHuG9BnksBnMay6GGMaboaAk9TtlEg0ftJE8UtLIH/1PcQuuQaqtDIFaYmIhhaOpCQioowR3roWi37/Hc8CpZMHNJ1s7rNA2Rg+DmtHXQlHK0hlTCIiIspxTcUnYO2oK+CIoGe/Cgo0n2giHtiI0E+/Cbl6mb8BiYhyEIuURESUEYa/txgL/3AJ8lqSN8ixygWaTg3ALu3/sdVQ9gVsGn4xlOxnkUoiIiKiA9BeMAera65FXCvxvkATaDvSQGRSB4LXfRf6S0/7G5CIKMewSElERGklHAeTn74Nsx66DpptJfV3TtDQfJIJN+S9g7eCho3V/4uG8rMA0c8u30REREQHoStYi5Vjf4XOwNh+r+mcpqP1WAHz/t8gcOd1XKeSiOggsUhJRERpY7Y34bA/XYqx/34iqU8JoG2BjvZFBqB5Fx9tmY+1o3+KpuKPpToqERERDVFxoxyra65FS8GCfq+xRmpoOtUEPngWoasvgthW52NCIqLcwCIlERGlRena93DU776N0vXJazg5eUDzSSa6Jve/v1vUHIlVNf9/e3ceZ1dd33/89TnnbrNlksxkskxWkhAIAdlFAQEVqojYom2t/hBXqrW1ttrKr4vVLtalLqUitaigVKuiKOhPRUtkE5Q1gEAIWyAh2ySZfblz7z2f3x/nTNaZyWQyM/fOzPv5eFy+997v9xw+d+bkzjmf810+Q2fNS8YzTBERERGioIpnF17BtoY3DdmmVBew+8IM/ennqP7YHxPef8cERigiMvlpdW8REZlYUYkVt36LFWu/ibkfVJ2fH9B+dhofYng3QHvtaTy34C+JwurxjFRERERkLwvY0nQpvdlFLNn6RQIvHNwmZXScnaGwPk/dVR+lcMEf0P/7l0NKl94iIoeib0oREZkwmc7dnPg/n6Th2YcPqnOg+4SQ7hNTw84tua3hTWyZ8xawoVf5FhERERkvrfXn0m2NrNjyKXLeMWib3mNSFBsC6m//LsXHHmHdm6+gt2H+Ifd99vzsWIcrIjJpaLi3iIhMiIanHkiGdx+coIyy0PbqNN0npYdMUEaW4bnmD7Ol6VIlKEVERKSsunJHc0f1FXTkjh2yTWFOwK7XZ8nZBs668k9Y8NDaCYxQRGTyUU9KEREZX/15jv3R1Sz91Q8Hr54X0H5Wmqhm6N6Tfel5PLfwI/TmjhqvKEVEREQOSz6o54m5H2Vp27eYu/tHg7bxrNF+Xoaq9f2ccMOnaNxwP4/97p9SymrKGhGRAylJKSIi4yZ44Wmy//nPLH1x40F1HkDXiSl61oTDDu/eXXMam5o/SCmsHcdIRURERA6fW4oX576bntzRLN76RULPD9qu95gUhaaAuXesZeaVj/Pwm6+gfdExExytiEhl03BvEREZe1FE+iffpurj7yMcJEFZnGHsfm2GnuOHnn/SCXgsewkb5v6VEpQiIiJS0VrrX8GTy/6NvsyCIdsUZwfsel0Gm72Dl179F6z8+dex4iCL74iITFPqSSkiImPKWraS/cqnSK1fd1CdA30rQjpOT0F66N6T/anZPNX0QZ7tbGDOML0sRURERCpFX3Yx65d+lsXbrmZ2xx2DN0obnS9Pk19UYtnd36LpiV/zyO9/mM4Fyyc2WBGRCqSelCIiMjaiiPQvbqT6b94xaIKyVAXt56XpODM9bIKyo+ZE1i/7PJ1VQ09ELyIiIlKJorCajQv+ko3zP0DJhl6pu39RyK43ZMlkNvLyqz7A8lu/hZVKExipiEjlUU9KERE5YrZtE7mvfppww6MH1TnQtyyg86VpPDt0cjKyFFvmvI0ds18PFkB//zhGLCIiIjJOzNg981V0V61i2YufoTq/cdBmnjPaz82Qe6bEitu/TtMT9xC87wqihVooUESmJyUpRURk9KIS6Z/dQObGr2GFg5OKpRx0vixNfnE47G56MwvZ2Pwhrd4tIiIiU0Y+u5Anl36G5h3X0tT6kyHb9S0P6Z8fMOOep8l89D0ULvwj+i++FDJD98Qshzu3Dr4o0GidPb+yPp+IlJ+SlCIiMirBc+vJXvc5wo0bDqpzoO+ogM7Th+89CdAy87VsnvsOPNCJqoiIiEwtHmTYPO+P6aw5icVbryJdahu0XVRttL0qQ/a5EnW/+G+q7/0l+bd/iNLqkyc4YhGR8lGSUkREDk93J5nvf5X02psw94Oqi3VG5xkp+hcM33uyENbzwvz301730vGKVERERKQitNedzuNVx7B429XM6rx7yHb5ZSH9CwLq7t9G7lN/SfGs15D/o/dBbf0ERisiUh5KUoqIyMi4k/r1WjL/80WC9taDqwPoXhPSfUIKwuF7T+6ecRab5v4xpdSM8YpWREREpKKUUjN4rvmvaeu4g0Xbvkwq6h60nWeNjjPT9B4VMOOeW6hZdzf5N72H4jkXQjD8TWARkclMSUoRETmkYPOzZL75RVKPPzhoff9co+OMNKWZwbD7KYT1bJr3XtpmvHw8whQRERGpbGa01p9DV/UaFm/9D+q7HxqyaWF+yK43BNT8toea6z9L+rYfkb/0z4lWHDeBAYuITBwlKUVEZGidbWR+cB3ptTdjHh1UXaqGrpPT9C0/9F199Z4UERERiRXSDTyz6B+Y3X4rC7dfSyrqGrxhaHS/JEXv8pC6+56m6p/eT/HM36H/Dy7HZzZMbNAiIuNMSUoRETlYsUh67Q/J/OA6rOfgk2YPoPu4kO7jU5Aefmi3ZRp4Zs671XtSREREZF9m7J75ajpqT2Xh9muY3XHXkE2jWqP9vAyZLSXqfvNzqh+4k/7Xv5XCBW+quFXARURGS0lKERHZy51w3T1kv/OfBFtfOLgayC8O6Dw1RVQ3/NBuMFILX0/mqMtoa9GfGxEREZHBFFMz2dj8V+yecS6Lt11NprhryLb9C+Ih4FXr+6m9+Rqin/+QDRdcxpaTXgXB/udmZ89X8lJEJhddNYqICADBhkfIfve/CJ/67aD1hUaj85Q0hXmHSk5CULeCzKoPEM44OnknP4aRioiIiEw9HXWn8Xj1cSxo+SZzWn+CcfBUOwAERu/qFH0rQmoe2c0J3/83lt11I+svfDe7Vp4ysUGLiIwhJSlFRKa5YNOzZL53Dal19wxaX5xhdJ2UIr90BKtJhlVkjnobqeaLMa0+KSIiInJYorCazfPew66Zr2bRtv+itvfxIdt6xug6NU3PMSlqH9zIaV/9G3atPJkNF1xG+6JjJjBqEZGxoSSliMg0Zds2kbnpG6Tu+V/M/aD6UhXxRO0rQwiGn3cSIDXvfNLL306Q1STuIiIiIkeiN7eMDUs+wayO21m4/TrSpdYh20a1RscrMvQcF1G3bh0vu+pBWo55KcFb3k20ZOUERi0icmSUpBQRmWbsxY1kfvTfpH69dtAVu6McdB+XoueYEFKHTk4GM44hc/T7CGesGo9wRURERKYnM1rrz6W99nTm7/wOTbt/hFEasnmxIaDtVRnSLRH16+4j89HfUDrlbPp/7x1Ei46awMBFREZHSUoRkWki2PQs6ZuvJ3XfbYP3nMxBz5oUPatGlpy0TAOZFe8knHseZoeep1JEREREDl8UVvPi3Hewc+YFLGi5nlmdg0/RM6AwJ6Dt/Azp7RG1D/2Kqr+/i9LJZ9F/0VuJjtIwcBGpXEpSiohMccFzT5L58TdJ3X/HoPWHm5wkrCa9+I2kF12CparGOFoRERERGUw+28xzC69gR8/jLNx+LTV9G4ZtX5gb0PqaOFlZ8+ivqPr4nZRWn0zhordQWn0K2AjO+0REJpCSlCIiU1EUET78azI//Q7hkw8P2qQ4w+g5LqR3eQjhCE5SLUWq+SIyS9+MZWaOccAiIiIiMhLd1at5cumnmdl5N807vkG2sG3Y9oW5AW1zM6R2RdT8dh25zzxItORo+i96C6VTzgYtdigiFUJJShGRqaQ/T+pXt5C55QaCrZsGbzLH6FmTIr8oGOEddCOcex6Zo95GUDVvbOMVERERkcNnRtuMM2mvO52Gtv9l3s4byBR3DbtJsSGg/ZwMYXtE9WPPUHX1x/DGhRTOv4TCWb8DVTUTFLyIyOCUpBQRmQJsdwvp235Meu0Psc72g+rdIL8ooOe4FIWmkc8fGc45i8yytxLULhvLcEVERERkDLil2TnrteyqfxWNbbcwb+f3SJfaht2mVB/Q+fKArpNTVD21jeobryTzvWsonP1aCq/+PXzeogmKXkRkf0pSiohMVlFE+PiDpNfeRPjQr7BokJW6s9C7MqTn6JCobqTJSSNsOovM0rcoOSkiIiIyCXiQoWX269k183waW3/CvF03kip1Dr9Nzug5PkXPcSHZ54tUr/sB1b+4kdLxp1M4/42Ujj8NAi2OKCITR0lKEZHJpqud9J0/I/3Lmwm2v3hQtQOFOUbvqhR9S4ORzTcJxMnJs5Pk5NKxjFhEREREJkAU5NjRcAk7Z72W00trKWy6Ec/vHH6jwMgvC8kvC0ntjKh+8gGyV94Ls+ZTeMWFFM96DT57zsR8ABGZ1pSkFBGZDKIS4eMPkbrrZ6Tuvx0rFA5ukoa+pSG9q0KKDYdx1ztIk5p3PunFlxBULxzDoEVERESkHKKginTzJaQWXkRx21oKz38X791yyO2KjQEdjQF2Worccy1U3fY1qm68luiE02k64XdoOeZ0PFQaQUTGh75dREQqmG15nvRdt5C65xcEu1sOqnegf35A3/KQviUBpEbaaxJI1ZFe+HrSCy/Wat0iIiIiU5AFGdILXkNq/vmUdtxF4YXvEXU+dcjtPBOPyuldlSK1K6Lqqfs46du/ppCdxYunvJoXT3o1XfOWjv8HEJFpRUlKEZFK09lG6t7bSf/qZ4TPPDFok2Kd0bc8pHd5SFR7GIlJwHJzSS9+I6n5F2BhbiwiFhEREZEKZhaSmnsOYdMriDqeoLDph5Ra7gI/eE7zAxUbAjobAjpPS5Hd1MWCZ7/PsjtvoLNpGVtPPI8tJ55H38ymCfgUIjLVKUkpIlIJutpJPXAXqd/8kvCJBwddBKdUDX1LQvJLw8NaoXtAOPsUUs0XETaejlk4bNs7t+YPe/8iIiIiUtnMjLB+NWH9aqK+Foqbf0Rhy0+g2HXojUMjvzQ+F7W8k3t+E8seupajf/Y1WpeuYctJr2TbmrMo1NSP/wcRkSlJSUoRkXLp7owTk/f+kvDxB7BS6aAmpRzkl4b0LQ0pzB3F6oqpWlLzLyDd/DqC6uYxCFpEREREpoIgN4fMineSXvYWitvWUtzyE6LOp0e0rWeN3qNT9B6dIuhycs+v5+i7bI11vgAAHElJREFUHuPYm75I67IT2L7mTLavfjn5+sZx/hQiMpUoSSkiMoFs+4uk1t1N+NDdhE8+PHiPyVojvyigb1EQJyaDwxvODRDUrSTV/HpSc1+hId0iIiIiMiQLc6SbLyTdfCGlzqcobrmF4ra1UOoZ0fZRrdFzXIqe41IEPU52029Zce8jrL75KtoXHsO2NWey/bgz6WnUDXMRGZ6SlCIi4ykqETy7ntSDv4oTk1s2HtTEgWKjkV8Ukl8UUJw1ih6TgGVmkZr3SlLzzieoXXpEYYuIiIjI9BPWrSRctZLMindT3HEHxS0/I2p/fMTbR9UDC+6A5Z3s5mdY+vgGjr71q/TUL6Rl1em0rDqV1mXHA9nx+yAiMikpSSkiMsasZSvhYw+Q+u19hI8/iHV3HtQmysarcucXBPQ3h0TVh99bMv6fpQgbzyA1/3zC2adiwfBzTYqIiIiIHIqFOdLzLyA9/wKi7hcobltL15a1ZAs7RrwPz8YLPfYtDyFy0i07aNp8Ewtv/AF0Z7HjTqH4kpdSOv50vHHeOH4aEZkslKQUETlSPV2ETzy0JzEZbH/xoCYeQKEpSUouCCjONrBRJiYxgplrSDWdEw/nTs84svhFRERERIYQ1Cwms/ztPFb1Zmp61zO7/XZmdd5FqnTwjfihd2IU5lo8ldEpEHQ7mS2/IXPHPeS+G2E1CyitPonSsSdTOvZEfGbDuH0eEalcSlKKiByujjbCDY8SPvkw4YZHCJ5/GvP955b0AAoNRqEpoH9eQP/cANKjTUrGgvrVpJpeQdh0NkFWJ24iIiIiMoHM6K4+lu7qY9k8713Uda1jdscd1HfdTxiNbP7KAVGN0bcyRd/K+HXYvpPMtlvI/PSnVF0X4bOXUjr2REqrT6a06gSomzkOH0hEKo2SlCIiw3HHdm4j3PAoO9atY/Zzj1LbsumgZlEKCnPihW76m4zCnABSR5aUdIzuqmNoqzuD1hlnUkjPiSt2A+T3a3v2fM3pIyIiIiJ73bk1f+hGo+SWpqPuNDrqTsOiAnU9jzCz8x7qO39DutRx2Psr1Qf01gf0ropfp1q3kN6xmfT/u5ncdY5VLyBaeTyllWuIVhxHtGAJBKObx11EKpeSlCIi++psI3z2SYJnnyB8bj3Bs+sJOtsAWJw0caBUbxQajUJjQKExGb49ilW4D1SyLJ21J9FWezodtadQTOmusYiIiIhULg/SdNSeQkftKTDvfdT2PMHMzrup77rvsOaw3FdxVryY5EDS0np3kmm5lfR9vyD9k4hUTxXR0jWUVhxHtOwYomVH4zNmjeGnEpFyUJJSRKYta9tFsOkZgk3PEmzcQPjseoKWLfu1caBUY/HQ7caAQqNRbAjwzJEnJAfk00101JxEe+3pdNYcjwfqFSkiIiIik5CFdNWsoatmDZv9PeT6NzOj60FmdN1Pbc/jBBRHtVuvMvKLQ/KLk0UioxKptnWkdjxE+omI9O6IMJqNLzqG0tKjiZKH5rYUmVyUpBSRqa9YINjyfJyMfOHpvYnJjtb9mkUp6J9jyZ3bveVYJiQBSkEVndUn0FHzEjprTyKfnn8Ei+iIiIiIiFQgM/qyi+jLLmJHwxsISj3U9TxCfdcD1HU/QrawbfT7DozibKM4G/pWJIlL7yJsv4/0zntJbYhItTlBVA+zj8IXHkW0cBlR8zKi5iWQqx6bzygiY0pJShGZOnq7CbZuItj6wp6HbXmBYPtmrLT3rm2UhtIMI39UQKk+oFhvFGcZpRnjM6+NE9JdtYLOmhPpqDmJ7qqVYPr6FREREZHpIwqraa87g/a6MwA4c2YbpbaHiVofptT6MJ7feWT/AzNKM43STOCoJHFJL9b/W1JtjxI+HpG6x0m3OkE4BxqT5OWCJUTzFhHNWwg1dUcWg4gcEV0li8jk0tNF0LIVa9lK0LKVYMcWbNsmgi0vELTtPbHxAEq1RrHOKK4ySjNSFGcYpfqAqHp8ey2WLEd39Sq6qlbTVb2a7qpVGsItIiIiIrKPoGouQdUFMP8C3B3v3UIpSVhG7U/g+dHNZ3kgzxiFJqPQtG+HhHas/0HCzgcI1zup+5ywIyIs1mDVzXjDEnzeYqJ5zfjcRURN89X7UmQCKEkpIpWltwdrbSHYtQPbGScibcdWgp1bCXZsxbrj1QLdIKqGUm1Asc4oLTVKtWlKtUapzsY9Ebmv/lQDPVUr9yQle3LL1FNSRERERGSEzAyrbiaobibdfCEAUX4nUfsTlNofJ2p/gqjzKfDSmP0/PWMUG4xiA+xdB70AbMT6nyPscMJHnfDXTtjtBKUqLNOI1SzAZzVDwzyixnl44zyixrlQXTtmsYlMV5PmKtrMVgP/ApxHHPdtwIfc/cly7N/MQuDPgcuBZcBm4Crg8+7uYxGTyJQSlbDOdqy9lfSOLTQ8s4HqhyLSna3Y7hZsdwtBawvW242HUKq2OAlZHScco0ajtNiIqjN76sZiNe3DVQxq6KlaSXduJT1VK+nJraCQ1oTcIiIiIiJjKcg2EjSdTarpbAC81E/U+RRRx3pKnU8TdTyF975IvNTl2PKMUWw0io37vlsEtgHbsMIDBF1OuC1JYPY4QSmLpeqxTANWPQdmLICaeuqLTqrYjTUtwOtnQ2rSpGFEJtyk+NdhZicBtwN1QAfxN8PrgJeZ2Uvd/emJ3L+ZGXAtcGny1jPAHOCzwFLgA0cSj8h4unNr/tCNRsKdVL6Hl9fmsa52rKMNa2/FOlvjsqMVa9+NdbRC+27o78CzEOUgyBmNOSPKQW+VETUYUXP8Ospl8VxlLCLTn2qkN7eU3uxSerNL6KlaUbGL3IzZ71VEREREZAKM7vx1BaRXwGxgNgSlHqryG6nueyZ+9D5Drn8zRjTW4e7H0/vMf7lHBLQmj6chcoI+qO9z/F6n1OsEvRBFOYphLcWwnkK6nkJmNvlcI/01DfTXzKS/pn7Po5irgWD/efPPnq9ppEZrLK+Z9HsYHxWfpDSzHPBD4gTit4F3uXuPmV2UvP9fwCsneP/vJU5QdgKvd/fbzawGuAn4MzO70d1vG21MIhPCnaBYIJXviR99cRnme0j39ZDq7STT00m6t5N0Tyepng7S/R2k+jtIl7oIvAfSTpQBzxqljBFl47uOURZ8phE1xXVRBggr90u8ZDn6sov2JiRzy+jNLqEUasiGiIiIiEilisJquqtX0129es97FvWT63+RXP4FqvIvkMtvoqrvOTLFFmwcel0OKYhHf0XVBvsNvCoCbUAbKeKkTBVA0Ql6IGh1grxjebA8uGeJLEdkOUpBNUFVHWTqsGw95GZC1Sy8ZhZWU4dX18aPmjqoqoYgPDgukQpW8UlK4oTgYuBp4DJ37wdw9x+b2fXA283sHHe/fSL2b2ZZ4B+SbT848L67d5vZ5cBTSf1to4xHZH+lIvTnsXxfXPbnoT8P/X1YPimT1+T7oNAD/d1Q6IX+bryQPC/0QLGPl/f3EkR5Au+HMMLT8Z1AT8VlNPA6DV4LPsv2tCkQz9LSC0C6rD+W0cinm8hnFtCXaaYv00w+u5C+TDOFVENF9o4UEREREZHD40Em7nSQW0brPu9blCeX30xV/nly/ZvJ9m+lqvcFMsXtBBTKFu8eKSOqhaj2wOuSItCVPOKeUvuJgDbHWiDod6wA1u9YESwKMI9ToUYaswwEWSzMQpiDsApLV0O6BsvU4Jk6LFuDp6v3KXOQzuKZLKQze0rSGV1DyZibDEnKP0jKLw0kEPdxDfB24CLi4doTsf9zgLnALuD6fRu7+7NmditwnpnVu3v7KGOS0XCPHzhEDh4l70Xx66gEpRKWlETxw4tFLCpCqbD3EZXwUgErFSEqxInCqABRMdmuGL/nRbxUBC/FbUsFPEq2K/XjUQlKBSwqJO2SfVDEo3g7vIhTSiaBLuFEQAQWxe+b4wEQxCtWE1pSgofgKYvLEMgYZICakfzAwuQxhQQZLDeXoGoelpvLxkIj/XsSkwu0wraIiIiIyDTlQZbequX0Vi0/oMJJF3eT7d9Ktn8L2cJWmm0b3rWJKN8C3leegA9HGF8TlgadNquUPEYw1Dki7pHSu+97jiW7sBJYyePnEVhk4AEWxResllykxkt4hGDxY8/rIARLYRbiQQoL0vGCo2EKLA1hCgsyeJiO68I0hJm4tFS8fZiUQSp5HPA8TMXtB94PUxCkIQzJdEZEYRqCAA9CPAhwi0slXCtDRScpk7kfT0pe/nyQJg8Q31Y4cwL3f3JS/tLdB7vd8hvgfOClB+xzWhzx85+4Flu/iX4bmL54oDv9EKXtfb5fx/uBn5bt3x3f9/wUff+fqO1f+gGvD2znljw3Rr/4yp7tR7f5/pIs5CTsnTih0rUEmQYsMwvLNmDZRoLsHKyqCcvOwTIzMdv7C2ndvvcPcUV/2cmgPDCyqYB0YKTH5N+ZTFU6VmQkdJzISOg4kZHSsTKVGIQN5LMN5FkDwPK5ezs3eLEH79tJlN+JJ4+oezvesxUv7MJL3Qddt041B17Nj0zS+eZIe6kO5FjHwJqBJ5HHH8aTX90g6Yo9v1LfJ1+wzw+g72E76L29z+2g/8Z1QycxwmAB4ao/PoxPM2kNm4Cp9Ov22UCO+Khef2Clu+fN7EXixWomav/NSfnoEPt8JikPjGn2KGOcNHK5HFz8iXKHIbLHGXPVc3Jyy8IizQsqI6FjRUZCx4mMhI4TGSkdK9OFpaqx2sUEtYvLHYpMcUeVO4CJMRvYMVRlpd/zqU7KHe4+VO68FZhnZqPpgjaa/Q9ss2WY9gCLRhGPiIiIiIiIiIjItFPpScqBbqA9w7TpTdpVD9NmLPd/qG0GZm/QbTUREREREREREZERqPQk5cAMtb3DtCkmZdUE7f9Q2xxJPCIiIiIiIiIiItNOpc9J2ZaUc4ZpMyMpR/NZRrP/Q20zVDxPAcce8N5uDnfuWRERERERERERkcpmHLw+y1PDbVDRSUp37zezHcRzQmbdPT9Is7lJ2T1B+9+UlEuH2O2g8dTX15cYZHEeERERERERERGRKWjIRXIGU+nDvQEeIM6+nnRghZktAeYB3e7eemD9OO3/gaQ8eYj9nZGUm0cZj4iIiIiIiIiIyLQyGZKUv0jKtw5S95qkfHAC9/8A8QrerzSz+fs2NrMQOH+fdiIiIiIiIiIiInIIkyFJ+S2gALzHzE4ceNPM6oGPJC9vmqj9u3sJ+G8gDXzezGyffb0faCaea/KuI4hpUjGz0Mw+ZGbrzazfzHrN7Hkz+0czy5U7PqlcZvYyMyua2XXljkUqk5n9hZm5mT1iZulyxyOVw8yqzOxfzOxhM+s0s51mdp+Zvc/MJsP5jYwTMzvBzDrM7GOHaHeZma0zsz4ze9HM/tnMMhMUppTZSI4TM1tsZt8ws5bkfKXLzO4xswsnMFQps5F+pwyy3dXJOcy54xOZVJLDPU7MLGVm9yfHyEcOvYVMBSP827PGzL5nZs8m5ygvmNkPzezUCQy1bCr+JN7dtwOfBrLAWjO7wswuB+4GlgHbgWsG2pvZe5MTzq+Mx/4T/wq0AH8I/NjMLjWzK4HPJfWfdvf+0X3iySVJ0n4P+DfgaGAD8BiwCPh74KdJD1OR/ZhZHXHCX8eHDMrMVgD/DJSAd7p7ocwhSYVIEkm3AH9D/LdnS1J1KvAl4IYDbiLKNGFm84AfAXWHaPdPwHXAS4jP9bLA3wI3jHOIUgFGcpyY2dHA/cClQDVwL7CTeGqnH5vZuyYgVCmzkX6nDLLd64D3jktQUnFGeZz8NXAK8ajNz45HXFJZRvi35xTg18Abk3YvEC/a/Abg12b2xgkItawqPkmZ+BhxonAWcYLwy8Bq4pW2L3H3jn3aziM+4VwxTvvH3bcCv0s87+SFwDeAPyNOtnwb+MzhfLhJ7v3EP4tngNPdfY27nwqcRbx40LnA28oXnlSw/wCOKncQUpmSBNNXiS8MP+vu95c5JKks7wfOJh7pMMfdV7l7I3AB0A5cAvxeGeOTMjCz5cCtwOJDtHst8HdAEfhDd18CzCe+cXaxmV023rFK+YzkOEn+Bv038YXh14Fmd385sJw4mWDAF5IbrjJFjfQ7ZZDtmoCvjUtQUnFGc5yY2Wrgo8QjOt/p7sVxCk8qxGEcJ18DaoC3ufscdz8aaCTuFBYCX5rqo1UnRZLS3YvufjnxfI/fBH5OnEw8zt3vPqDtx9zd3P3c8dj/PtvcDZxAnOD8GfAd4oTmH7l7dJgfcVJKhl7+LdAHnL9vEiH5+Xw5eXlRGcKTCmZmbwIuA7rKHYtUrD8FXgE8BfxDmWORyjNwF/nD7r7ne8TdfwFcmbx85YRHJWVjZq8i7um2IimH868Dpbt/FyDpqf0nQCfxuZ1MQYdxnFwEnEZ8jv8Od2+DPdM+fYR4pdJa4pvxMgUd5nfKgb4KNKHz3ClvNMdJMsrwWuIe/J9094fHL0KpBCM9TpJRZCcAv3L36wfed/dud/8r4l6VTcCa8Y24vFLlDuBwuPv/Av9bKftPVvz++HjFMwnMAL4I7Hb35wapH3hv5sSFJJXOzJqJE9i9xCf6V5U3Iqk0ZraMOIngwLvcva/MIUnlaUrK7YPU7U5KzWE6vfw9cY+UC4DzgNMHa5QM4X0J8TQS/7Fvnbt3mtm3iecpP87dHxvfkKUMRnScEC+S+Vngenf3fSvcvWRmm4i/h3SOO3WN9FjZj5m9jzjJ/UviUXeXjleAUhFGc5x8KGn3OPG0RjL1jfQ4Ge78FuK/TYuZ4ue4k6InpVQmd9/l7v/i7lcP0eTYpNw6UTFJZUuGT10HzAb+gviPs8ge+wzzrgG+5O53ljkkqUybkvKCQepem5TqmTC93Eg8Aub2Q7Q7OSkfcveWQep/k5RnjllkUklGdJy4+13u/uHBejglI4mWJy91jjt1jfQ7ZQ8zW0U8JHMXcXJyWoyum+YO6zhJjpGPEx8b75wu61jIiI+TgfPbM82set8KM1tCnF8pMsWvoZWklHFhZln2Dsf7YTljkYryF8CrgR+4+5cP1VimpXcS32EEOMHMnjGz583sJjM7u5yBSUUZ+P64yswuMrMZZrbEzD5HnLjcBHyrfOHJRHP3K9191wiaNiflo0PUP5OUS484KKk4h3GcDOd1xD0odwO6kTZFHe6xkiSvv0k8l/a73P3FcQtOKsYovlOuAXLEiex/N7NNZva4mX3OzBrHJ0opt5EeJ+6+CfgpMJd4EchjzazGzM4AfgBkgP909/bxjbi8lKSU8fLnxP+4NhD/g5JpzsyOBz5BPPTl3WUORyqQmc1g71xxPcRTRnwLuIt4zuDbzewjZQpPKkgyj+DlxAve/Yh4sZyNxDdC7gLOGZhDTuQAAz0TtgxR35qUiyYgFplkzCwF/GPy8vPuni9nPFJRPk68UvOX3P2mcgcjlcfM3ky86B/EC/TeQ5zYbiU+f3nUzE4oU3hSOd5CnD+5kLjHZBfxsbIG+CTwwfKFNjEm1ZyUMjkk8z0NLHTxZ8kk4zKNJT1rv0U8f8b/cffdh9hEpqc/I15JtQM4w92fGKgws6XAbcAnzewed7+jHAFKZUiGwFxAfEf5QAuAVwFfmdCgZLKwpOwZor43KWsnIBaZfK4AjifucfvZMsciFSIZ6fER4DHi+QZF9pNMZzRwg+P/Ab+XLNg2UP924sV0vm9mq6bLQrwyqKOBEwd5P0U8p/Zqhh4NMiWoJ6WMKTPLsHeow9Xu/vMyhySV4VPEd38+cThz+8i084dJeeW+CUoAd9/I3oXK3jWRQUlF+hLwpuT5LcDfEX/PvAAcBVxjZn9Zptiksg0sxNU7RH0xKasmIBaZRJLhdh8lXnTpUncf6hiSacTM6oHrgX7gzVrsT4ZwErAyef7BfROUAO5+HXAH8erP50xsaFIpzKyJeITQMuJOG18G/i/wDeKFd14L3GFmy4fcyRSgJKWMtS8ApwIPAbpAFMzsfOADxN3UP36I5jK9DfzB/e4Q9fcl5UsmIBapUGa2kL2rpb7H3V+TLOJ2BfEFwMAUI3+bDM0U2dfANABzhqifkZQ6dmSPZK647xCPCPkbd7+nzCFJ5bgKWAJ8yN1/W+5gpGINnOM+6O5PD9FG57nyLuIVvrcCx7v7e939k+5+GfF0EjuI50T+QBljHHc6AZMxY2bvBt5HPBHwG3UnURIfIR5e1wzcH4922GNgON3FZrYOwN0H694u04Mn5TND1A/0cBpsiK9MH6cS32R9wN33G9Lt7v1mdjlwETCbeF7B5yY+RKlgAytnLh2ifm5Sdo9/KDIZJAui3AAsBr7v7p8uc0hSIZKbZm8lPn+5PPn7s6/FSfkVM+sCbnb3j05kjFIxDnWOCzrPFXhpUn7C3V/Yt8Ldf2tm/wL8O4MPB58ylKSUMWFmryIeflcEft/ddVEoAwa+Zxaz92TtQLOSh0xvzxFPC9DA4PPFHZWULwxSJ9PHwJ2OpwardPedZtZCPDelRozIgR5MypOHqD8jKTdPQCwyOfwncC7wCHBZeUORCjNwjmsM3/ttoBfduvENRyrYwLVxwzBtdJ4rw57jAgPTYU3p89sp/eFkYpjZy4iH16WBP3X3X5Y5JKkg7n6uu9tgD+C8pNnX93lPpq9bk/IPhqh/Z1LqO2Z6G+gJN3+wSjOrBRqJE90vTlRQMjm4+3biZNMqMztlkCavScoHJi4qqVRm9hnivz3bgYvdXT1sZQ933zjUOW5yTvv1pOl5yXtvL2O4Ul4PAbuBM8zsoE4bZjaXeDXniHhuSpmehj3HJZ6rEoZOYk4JSlLKEUlW8v4pUAd8zt2/XOaQRGTyupJ44vl/NLO3JSshYmZ1ZvZF4I1AF1q1ebp7FGgBXjbYiT7xKvEZ4H807YgMYSBx8IVkwT8AzOxi4p6UReLVV2UaM7O/Bj5MvMjSxe7+fJlDEpFJKlmt+/PEi8veaGbHDNSZ2YnAz4Ea4DvuvqU8UUoFWJuUf3hghZllgT9JXl47YRGVgYZ7y5H6R6A+eX7+wLyCB9I8gyJyKO7+rJm9hzgJ+XXgKjPbTjx3XEh8d/lt7r6rfFFKubl7PpkD+QZgrZl9AdhAPJH4RcBbiOd8+kj5opQK92XgcuAs4DYzu4Z4mN2HkvqvJD0uZZoys5nsXeyvH/ivA+bUHqA5BkVkpP6NeF7tNwBPmNmLxPmYgbmQnya+0SrT1w+A/wH+yMwGnrcRn6O8l3haiS+4+53lC3H8KUkpR2rfoVLHly0KEZkS3P0byc2OPyWeDqCZuBfLvcSTSN863PYyPbj7zWZ2KnEvpw8RD4tx4nmcvgD8q5LZMhR37zaz3wW+D7wseQy4jb3JSpm+jgNyyfN6hp5vUHMMisiIuHufmV0CvBl4B/H3zGxgC3Hv/b/Tucv05u5uZm8lHqn6duBqYAbxYn6PAJe5+zfKF+HEMHc/dCsRERERkSnEzHLA+4FXAnngZuB6dy+VNTARERGRaUpJShERERERERERESkrLZwjIiIiIiIiIiIiZaUkpYiIiIiIiIiIiJSVkpQiIiIiIiIiIiJSVkpSioiIiIiIiIiISFkpSSkiIiIiIiIiIiJlpSSliIiIiIiIiIiIlJWSlCIiIiIiIiIiIlJWSlKKiIiIiIiIiIhIWSlJKSIiIiIiIiIiImWlJKWIiIiIiIiIiIiUlZKUIiIiIiIiIiIiUlb/H2t8n0+4bkNwAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<Figure size 1400x700 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(dpi=100)\n",
    "\n",
    "##### COMPUTATION #####\n",
    "# DECLARING THE \"TRUE\" PARAMETERS UNDERLYING THE SAMPLE\n",
    "mu_real = 10\n",
    "sigma_real = 2\n",
    "\n",
    "# DRAW A SAMPLE OF N=1000\n",
    "np.random.seed(42)\n",
    "sample = stats.norm.rvs(loc=mu_real, scale=sigma_real, size=1000)\n",
    "\n",
    "# ESTIMATE MU AND SIGMA\n",
    "mu_est = np.mean(sample)\n",
    "sigma_est = np.std(sample)\n",
    "print(\"Estimated MU: {}\\nEstimated SIGMA: {}\".format(mu_est, sigma_est))\n",
    "\n",
    "##### PLOTTING #####\n",
    "# SAMPLE DISTRIBUTION\n",
    "plt.hist(sample, bins=50,normed=True, alpha=.25)\n",
    "\n",
    "# TRUE CURVE\n",
    "plt.plot(np.linspace(2, 18, 1000), norm.pdf(np.linspace(2, 18, 1000),loc=mu_real, scale=sigma_real))\n",
    "\n",
    "# ESTIMATED CURVE\n",
    "plt.plot(np.linspace(2, 18, 1000), norm.pdf(np.linspace(2, 18, 1000),loc=np.mean(sample), scale=np.std(sample)))\n",
    "\n",
    "# LEGEND\n",
    "plt.text(x=9.5, y=.1, s=\"sample\", alpha=.75, weight=\"bold\", color=\"#008fd5\")\n",
    "plt.text(x=7, y=.2, s=\"true distrubtion\", rotation=55, alpha=.75, weight=\"bold\", color=\"#fc4f30\")\n",
    "plt.text(x=5, y=.12, s=\"estimated distribution\", rotation=55, alpha=.75, weight=\"bold\", color=\"#e5ae38\")\n",
    "\n",
    "# TICKS\n",
    "plt.tick_params(axis = 'both', which = 'major', labelsize = 18)\n",
    "plt.axhline(y = 0, color = 'black', linewidth = 1.3, alpha = .7)\n",
    "\n",
    "# TITLE\n",
    "plt.text(x = 0, y = 0.3, s = \"Normal Distribution\",\n",
    "               fontsize = 26, weight = 'bold', alpha = .75)"
   ]
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